{ "cells": [ { "cell_type": "code", "execution_count": 1, "metadata": { "collapsed": false, "slideshow": { "slide_type": "skip" } }, "outputs": [ ], "source": [ "from itertools import product\n", "import numpy as np\n", "import plotly.graph_objects\n" ] }, { "cell_type": "code", "execution_count": 2, "metadata": { "collapsed": false, "slideshow": { "slide_type": "skip" } }, "outputs": [ ], "source": [ "mydefault = plotly.graph_objects.layout.Template()\n", "mydefault.layout.xaxis.showgrid = False\n", "mydefault.layout.yaxis.showgrid = False\n", "mydefault.layout.xaxis.showline = True\n", "mydefault.layout.yaxis.showline = True\n", "mydefault.layout.yaxis.linewidth = 2\n", "mydefault.layout.xaxis.ticks = \"outside\"\n", "mydefault.layout.yaxis.ticks = \"outside\"\n", "mydefault.layout.hovermode = False\n", "mydefault.layout.scene.hovermode = False\n", "mydefault.layout.xaxis.showspikes = False\n", "mydefault.layout.yaxis.showspikes = False\n", "mydefault.layout.scene.xaxis.showspikes = False\n", "mydefault.layout.scene.yaxis.showspikes = False\n", "mydefault.layout.scene.zaxis.showspikes = False\n", "plotly.io.templates[\"mydefault\"] = mydefault\n", "plotly.io.templates.default = \"mydefault\"\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "slide" } }, "source": [ "**Learning goals:**\n", "\n", "- Know the four defining properties of chaos in a dynamical system. \n", "- Be able to explain what each one of them means. \n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example:** The three-species food chain model (the Hastings model)" ] }, { "cell_type": "code", "execution_count": 3, "metadata": { "collapsed": false, "slideshow": { "slide_type": "skip" } }, "outputs": [ ], "source": [ "state_vars = list(var(\"G, S, W\"))\n", "system = (\n", " G*(1 - G/3) - 2.5*G/(1 + G)*S, \n", " 2/3*2.5*G/(1 + G)*S - 0.4*S - 0.1*S/(1 + S)*W, \n", " 0.5*0.1*S/(1 + S)*W - 0.01*W, \n", ")\n", "vectorfield(G, S, W) = system\n", "delta_t = 0.1\n", "t_range = srange(0, 5000, delta_t)\n", "initial_state = (1, 1, 1)\n", "solution = desolve_odeint(vectorfield, initial_state, t_range, state_vars)\n", "solution = np.insert(solution, 0, t_range, axis=1)[int(2000/delta_t):]\n" ] }, { "cell_type": "code", "execution_count": 4, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "text/html": "\n\n\n
\n \n \n \n
\n \n
\n\n" }, "execution_count": 4, "metadata": { }, "output_type": "execute_result" } ], "source": [ "end = int(1000/delta_t) + 1\n", "fig = plotly.subplots.make_subplots(rows=int(1), cols=int(2), specs=[[{}, {\"type\": \"scene\"}]])\n", "fig.layout.width = 900\n", "fig.layout.height = 450\n", "fig.layout.margin = dict(l=40, r=0, t=0, b=40)\n", "fig.layout.yaxis.rangemode = \"nonnegative\"\n", "fig.layout.xaxis.title.text = \"t\"\n", "fig.layout.yaxis.title.text = \"Populations\"\n", "fig.layout.scene.xaxis.title.text = \"G (grass)\"\n", "fig.layout.scene.yaxis.title.text = \"S (sheep)\"\n", "fig.layout.scene.zaxis.title.text = \"W (wolves)\"\n", "fig.layout.scene.aspectmode = 'cube'\n", "fig.add_scatter(row=int(1), col=int(1), x=solution[:end,0], y=solution[:end,1], mode=\"lines\", \n", " line_color=\"darkgreen\", line_width=1, name=\"G (grass)\")\n", "fig.add_scatter(row=int(1), col=int(1), x=solution[:end,0], y=solution[:end,2], mode=\"lines\", \n", " line_color=\"darkgray\", line_width=1, name=\"S (sheep)\")\n", "fig.add_scatter(row=int(1), col=int(1), x=solution[:end,0], y=solution[:end,3], mode=\"lines\", \n", " line_color=\"black\", line_width=1, name=\"W (wolves)\")\n", "fig.update_layout(scene_aspectmode = 'cube', \n", " scene_xaxis_title_text = \"G (grass)\", \n", " scene_yaxis_title_text = \"S (sheep)\", \n", " scene_zaxis_title_text = \"W (wolves)\")\n", "fig.add_scatter3d(row=int(1), col=int(2), x=solution[:,1], y=solution[:,2], z=solution[:,3], \n", " mode=\"lines\", line_color=\"red\", name=\"Trajectory\")\n", "fig.show()\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example:** The discrete-time logistic model" ] }, { "cell_type": "code", "execution_count": 5, "metadata": { "collapsed": false, "slideshow": { "slide_type": "skip" } }, "outputs": [ ], "source": [ "X_next(X) = 4*X*(1 - X)\n", "X_list = [0.7]\n", "t_list = srange(1000)\n", "for t in t_list:\n", " X_list.append(X_next(X_list[-1]))\n", "list_of_points = list(zip(t_list, X_list))\n" ] }, { "cell_type": "code", "execution_count": 6, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "ff762f9e701d4ac39b42d746498933fc", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Interactive function with 1 widget\n", " connect: Checkbox(value=False, descri…" ] }, "execution_count": 6, "metadata": { }, "output_type": "execute_result" } ], "source": [ "@interact(connect=checkbox(False, label=\"Connect the dots\"))\n", "def update(connect):\n", " p = list_plot(list_of_points[:50], color=\"blue\", size=30)\n", " if connect:\n", " p += list_plot(list_of_points[:50], plotjoined=True, color=\"gray\")\n", " p.show(axes_labels=(\"$t$\", \"$X$\"), aspect_ratio=0.4*50/1, figsize=8)\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Definition:** A mathematical model has ***chaotic*** behavior if it has the following four properties: \n", "1. The model is ***deterministic***. \n", "2. The behavior is ***bounded***. \n", "3. The behavior is ***irregular*** (or ***aperiodic***). \n", "4. The behavior has ***sensitive dependence on initial conditions***. " ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Properties of chaos:**\n", "\n", "1. The model is ***deterministic***. " ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "source": [ "
\n", "\n", "Recall that this means that (at least *in theory*) the current state determines all future states. In short, there is no randomness in the model. \n", "\n", "Note that this is a property of the mathematical *model*, not a property of the *behavior*. \n", "\n", "All models that we have studied and will ever study in LS 30 are deterministic. Models that are not deterministic are called “stochastic”, a fancy word for random. \n", "
" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Properties of chaos:**\n", "\n", "2. The behavior is ***bounded***. " ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "source": [ "
\n", "This means none of the state variables “goes to infinity” (nor to $-\\infty$). \n", "\n", "Or, in other words, there is some bounding box that can be drawn in the state space, so that a trajectory that starts inside that box will remain inside it. \n", "
" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example:** The amount of grass is ***bounded***. " ] }, { "cell_type": "code", "execution_count": 7, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 3 graphics primitives" ] }, "execution_count": 7, "metadata": { }, "output_type": "execute_result" } ], "source": [ "mins = solution.min(axis=0)\n", "maxs = solution.max(axis=0)\n", "mins, maxs = mins - (maxs - mins) * 0.1, maxs + (maxs - mins) * 0.1\n", "mins *= mins > 0\n", "end = int(1000/delta_t) + 1\n", "tmin = solution[0,0]\n", "tmax = solution[end - 1,0]\n", "\n", "p = list_plot(solution[:end,(0,1)], plotjoined=True, color=\"darkgreen\")\n", "p += line(((tmin, mins[1]), (tmax, mins[1])), color=\"orange\", thickness=2)\n", "p += line(((tmin, maxs[1]), (tmax, maxs[1])), color=\"orange\", thickness=2)\n", "p.show(ymin=0, axes_labels=(\"$t$\", \"$G$ (grass)\"), aspect_ratio=0.4*1000/maxs[1], figsize=8)\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example:** The sheep population is ***bounded***. " ] }, { "cell_type": "code", "execution_count": 8, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 3 graphics primitives" ] }, "execution_count": 8, "metadata": { }, "output_type": "execute_result" } ], "source": [ "p = list_plot(solution[:end,(0,2)], plotjoined=True, color=\"darkgray\")\n", "p += line(((tmin, mins[2]), (tmax, mins[2])), color=\"orange\", thickness=2)\n", "p += line(((tmin, maxs[2]), (tmax, maxs[2])), color=\"orange\", thickness=2)\n", "p.show(ymin=0, axes_labels=(\"$t$\", \"$S$ (sheep)\"), aspect_ratio=0.4*1000/maxs[2], figsize=8)\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example:** The wolf population is ***bounded***. " ] }, { "cell_type": "code", "execution_count": 9, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "image/png": 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PDKArizHGGGOMseLwpGzGGGOMMcaY2rigYIwxxhhjjKmNCwrGGGOMMcaY2rigKCQ6Oppq1KhBDRs2FDoK0yMAhI7AGGN6Ry6XU2xsLD1//lzoKIwxAXFBUcjw4cPpxo0bdO7cOaGjMIE9f/6cRo0aRRUrViSJREK+vr40b948ysnJEToaY4wJKjs7m2bMmEEuLi7k7e1NLi4u1KhRIzp+/LjQ0RhjAuCCwkBlZ2fT4sWLqWHDhmRpaUnu7u40ZMgQiouLEzqaUTh58iQFBATQH3/8Qb169aLFixdTUFAQTZgwgVq1akVJSUlCR2SMMUG8ePGCgoODacaMGRQVFUX79u2j9evXk4mJCbVs2ZJ+/fVXoSMyxnRMBB7LUayUlBSysbGh5ORksra2FjpOAffu3aOuXbvS1atXKTIykpo0aULPnj2jVatWUVZWFq1fv57Cw8OFjmmwjh07Ru3ataOgoCBav349ubi45L8XExNDnTp1Ij8/Pzpy5AjJZDIBkxqHly9f0uHDh+nx48dUsWJFCgsLI3t7e6FjMcaKkZSURB9++CElJibS3r17qX79+vnvyeVyGjNmDC1cuJA2btxI3bt3FzApY0ynwIqVnJwMIkJycrLQUQr4999/4eDggGrVquHSpUsF3ktKSkL79u1RoUIFHDp0SKCEhu3hw4ewt7dHq1atkJ6eXuwx//zzD2QyGYYOHarjdMYlLS0N48ePh0wmAxHBwsICRASZTIavvvoK2dnZQkc0ChkZGUhNTRU6BjMCubm5CA8Ph729PW7dulXsMXK5HFFRUTA3N8fdu3d1nNC45OXlYePGjWjRogXMzc1hYmKCBg0a4Ndff0VOTo7Q8RgrgAuKEuhjQXHnzh04Ojqifv36ePXqVbHHZGVlISwsDPb29nj06JGOExq2nJwcBAYGwtvbGy9fvnzvsdHR0SAiHD58WEfpjEtsbCxq164NMzMzfP3113j69CkA4NmzZ5g6dSqkUinCw8ORlpYmcFLDlJSUhO+//x41a9YEEYGI4O3tjenTp+PNmzdCx2MGatasWRCLxThw4MB7j3vz5g28vb3RtGlT5OXl6SidcYmLi0NISAiICC1btsTs2bOxcOFCREZGQiwWIygoKP9zkzF9wAVFCfStoMjMzES9evVQrVq1Um92X758CU9PTzRr1gxyuVxHCQ3fnDlzIBaLcfbs2VKPzcvLQ/PmzVG1alV+kq6i+Ph4eHt7w9vbG1euXCn2mEOHDsHCwgIRERF8Q6KiLVu2wMnJCTKZDP369cPy5cuxatUqDB48GGZmZvD09CzSu8mKys7ORm5urtAx9MadO3cgk8kwfvx4pY4/evQoiAhr1qzRcjLjc/36dVSsWBGVK1fGX3/9VeT9U6dOoVKlSqhWrRoXFUxvcEFRAn0rKEaMGAGZTKb0jcDhw4dBRPj999+1nMw4PHz4EObm5hg1apTS51y5cgUikQiLFi3SYjLjkpGRgXr16sHDw6PUHrSdO3dCJBLh22+/1VE6wyaXyzF16lQQESIjI/HkyZMix9y/fx8NGjSAtbU1Tp8+LUBK/ZWXl4cDBw6gW7ducHZ2BhHBxMQEgYGBWLBgATIyMoSOKBi5XI4WLVrAx8dHpV7DyMhIeHh4lOufnari4uLg6uqKgICA9xYL9+/fR8WKFREUFITMzEwdJjRcz58/x6JFi9CzZ0+EhIQgPDwc06ZNw/Xr14WOZhQMsqA4fvw4OnToADc3NxARtm3bVuB9uVyOr7/+Gm5ubjA1NUVISAiuXbumUhv6VFBs3boVRKTyjWvv3r3h6OiIlJQULSUzHn369IGbm5vKP6sBAwbAycmJf8ZKGjp0qEqF8bRp0yCVSnHhwgUtJzNseXl5GDlyJIgIs2fPfm/PZEpKCj744AM4Ozvj4cOHugupx86fP4+goCAQEQICAjBt2jSsXLkSixYtQteuXSGVSuHj44Nz584JHVUQu3btAhFhz549Kp13+/ZtSKVSzJs3T0vJjItiJIKHhwcSEhJKPf7MmTOQyWQYO3asDtIZroSEBHz22WeQyWQwMTFBkyZN0KtXL3To0AH29vYQiUT4+OOP9eJ+z5AZZEGxd+9eTJs2DVu2bCm2oJg1axasrKywZcsWXL16FT169FD5ZlFfCorY2FjY2toiMjJS5eFLcXFxqFChAj/hLcWNGzfU7mmIi4uDVCrF3LlztZDMuPz9998qF8ZZWVmoW7cu6tevz0OfSpCbm4tBgwZBJBLh119/Veqc58+fw8vLC0FBQeV6cmdeXh6+++47iMViBAQE4PDhw8V+zt68eRMNGzaETCbD7t27BUgqnNzcXNSqVQvNmzdXawht//79UalSJWRlZWkhnXH54osvYGJigosXLyp9zuzZsyESiXDq1CktJjNMcrkcv/32G2xsbGBnZ4eZM2ciMTGxwDFZWVn49ddfYW1tjWrVquH+/fsCpTV8BllQvKtwQSGXy+Hq6opZs2blv5aZmQkbGxssWbJE6evqQ0GRnZ2NDz74AJ6eniVOwi7N6NGjYW1tXeQfEfs/3bt3R+XKldXuNuYvzNLl5eWhTp06aNiwocrj0mNiYkBEWLlypXbCGbDs7Gz07NkTYrEYq1evVuncmJgYiMVizJgxQ0vp9FtGRgYiIiIgEonw5ZdfllpYZWRk4KOPPoJMJsORI0d0lFJ4//vf/0BEOHPmjFrnX79+nYffKuHq1auQSCT45ptvVDovNzcXjRo1Qq1atXjOzztevXqFLl26gIgwaNAgvHjx4r3H37t3D9WqVUPlypW551ZNRldQ3L9/H0RUpMLv1KkT+vXrV+J1MjMzkZycnP8nPj5e8IJi8uTJkEql+Oeff9S+RkJCAszMzDB9+nQNJjMe//77L4gIy5YtU/saii9MvuEt2c6dO0FEiImJUev8nj17wtXVlZc/fUdGRgY6deoEExMTbN68Wa1rTJ48GTKZrNw9lcvIyECrVq1gamqKXbt2KX1eZmYmWrVqBUdHx3Kxil5GRgY8PDzQpUuXMl3no48+gp+fH/cyvkenTp3g4+Oj1oOps2fPgoiwfPlyLSQzPDExMfDw8ICtra1Kn42PHz+Gj48Pateuzd81ajC6gkLxNLPwhMTBgwejTZs2JV7n66+/zl9e8d0/QhUU+/fvBxHhxx9/LPO1hg8fDicnpxL3VSjPIiIi4OPjU+aVmjp27IjatWvzqlolaNmyJYKCgtQ+/+HDhzy07B1paWlo3bo1TE1NVR7X/q7U1FRUqlQJkZGRGkyn3+RyOXr16gVTU1McPXpU5fNfvHgBDw8PNG7c2OiHi82bNw8SiaTEPSeUdfLkSRAR749UgtOnT4OI8Mcff6h9jZ49e8LNza1c3wjL5XLMnz8fUqkUTZo0QWxsrMrXuHr1KiwsLNCrVy8tJDRuRltQFF4d4ZNPPkFYWFiJ19GnHorHjx/DyckJYWFhGnmic/fuXYhEIixdulQD6YzHuXPnQERYtWpVma+lKADVfQJvzBS9QBs2bCjTdQYMGABXV9dyXxgnJSWhadOmsLCw0MjQm/Xr14OIcOzYMQ2k03+//vprmX8fT506BZFIhDlz5mgwmX5JSUmBo6MjBg8eXOZryeVy1KpVq1wVrqqIiIiAv79/mYYsPXjwoFw/dElJSUH37t1BRBg3blyZHhKuXbsWRIQ///xTgwmNn9EVFOoOeSpMqDkU2dnZCA4Ohru7O54/f66x60ZGRsLX15e7nN8RHh4OX19fjYw7zcvLQ5UqVdCnTx8NJDMuAwcOhLu7e5l7ge7evQuxWIxffvlFQ8kMz9OnT1G7dm3Y2dmVaSjku+RyOerXr18u9q2Jj4+HlZWVRm6SR48eDVNTU6PdDfrbb7+FTCZDXFycRq63ePFiiMVixMfHa+R6xuLRo0cQi8VKL6jwPgMGDICbm1u5W0b2+vXr8PPzg5WVFTZt2lTm68nlcnTp0gWOjo4avQ8zdkZXUCgmZb87VCgrK8tgJmWPHj0aUqlU4ys2KLqcDx48qNHrGirFikNlfWr+rp9++gkVKlQodfJXeZKQkACZTFZgkYSy6N27Nzw9PY1+qElx/v33X3h7e6NixYoqL4NdGsUcl+I20TImgwcPhpOTE5KSksp8rdTUVHh4eCAiIkIDyfRLYmIirK2tMWbMGI1dMyUlBZaWlvjyyy81dk1jMGXKFFhbW2tkB/tbt26Vu9EIW7ZsgYWFBWrUqFHmoXnvSkhIgK2tLT777DONXdPYGWRB8ebNG1y6dAmXLl0CEWHevHm4dOlS/iS5WbNmwcbGBlu3bsXVq1cRFRVlEMvGLly4EESEhQsXavzacrkcNWvWLPPkOmMgl8sREhKCOnXqaLTH5sWLF5DJZPjpp580dk1D9+2338LMzKzU3d2Vdf78eRARtmzZopHrGYq1a9fCzMwMtWvX1soKJHK5HIGBgWjatKnR9lIo5uHMnj1bY9dUDI0wtuFi48aNg6Wlpcafzg4dOhRubm7l8oFAcTIzM+Hk5ISRI0dq7JrdunWDj49PuVjx6eeff4ZIJEL37t01UpCVdH1l900q7wyyoDh69GixE6j79+8P4P82tnN1dYVMJkOzZs1w9epVldrQdUGxZs0aiEQijBs3TmttLFy4EFKpFP/995/W2jAEhw4dAhFh586dGr92r1694OfnZ7Q3ZarIzMyEq6srhgwZotHrBgcHIyQkRKPX1FdZWVkYMWIEiAh9+vRRaZdiVZV1JS59N3bsWDg4OGh00mpeXh4aNWpkVPuk3Lx5EyYmJlrZv0gxb23fvn0av7YhWrNmDYhIo0/WFT/jwvtzGZvff/8dRITx48dr7d9ednY2/P39ERISwt/pSjDIgkIXdFlQKHomBg4cqNUvpaSkJJiamuL777/XWhv6LicnBwEBAQgKCtLKB8TBgwdBRDh9+rTGr21oVq9eDSLCjRs3NHrdP//8E0Rk9E+Nnjx5gqCgIJiYmGDRokVa/0LLy8uDr68vOnfurNV2hJCdnQ0nJyeNDuFRUAwnVXfpXn0il8vRunVr+Pj4ICMjQyvXr1mzJnr06KHxaxuioKAghIaGavy6H3zwAVq2bKnx6+qLa9euwcTEBIMHD9b65+Lu3btBRDhw4IBW2zEGXFCUQFcFRVJSElxdXTFu3DidVMD9+/eHl5eX0TxNU9WCBQsgEolw/vx5rVw/NzcXlSpVwtChQ7VyfUMhl8tRr149tG3bVuPXzs7Ohru7OwYMGKDxa+uL+Ph4VKlSBZUqVdJpcbpkyRKIRCLcu3dPZ23qwrZt20BEKvdUKys0NBS1a9c2+M9VxVNfVfbmUNXs2bMhk8k0Mo/FkCmGb2qjJ2HdunUgIo3PtdIHcrkcwcHB8PPz08nkc7lcjsaNG6Nx48bcS1EKLihKoMseioSEBJ39op46dQpEhP379+ukPX1y9+5dWFpaanwITmFTpkyBra2tVp7wGYoTJ05o9ffshx9+gKmpqdo7yOuz7OxsBAUFCbJja3p6OhwcHDBixAidtqttHTt2RMOGDbV2fUUvxdatW7XWhrbdvn0bFhYWWi/Unz59CrFYrNIiKcZowIABqFy5slbmk2RlZWlluKk+OHDggM57DBQjD8qy5095wAVFCYRa5Unb5HI5/P39ERUVJXQUncrMzERgYCCqVKmi0uR8ddy6davcr2HdsWNH1KxZU2tPbJ8+fQqJRGKUS8jOmTMHEolEY8vCqurLL7+EhYWF0TxBVvyuaGJZzvdp2bIl6tata5BPMZ8/f46qVavC19dXK5NbC2vXrl2ZNro0dImJiVoffjx9+nSYm5sbzb9jhRYtWiAwMFCn/87kcjk+/PBDNGjQwCD/fesKFxQlMNaCAni7CpapqSlev34tdBSdyM3NRZcuXWBqaopz587ppM2goCC0a9dOJ23pm+vXr4OIsHLlSq22ExERYXS7k6ekpMDBwQGffvqpYBn+++8/SKVSLFiwQLAMmvTjjz/C1NRU6zdWx44dAxFh9+7dWm1H0+Li4lCrVi24uLjg/v37OmlTMQ/q5s2bOmlP3yiWGE9ISNBaG4p/x8b00EWxz1hZdhRX1+HDh3m391JwQVECYy4oHj9+DLFYjN9++03oKFqXnJyMDh3bZOqjAAAgAElEQVQ6QCwWY8eOHTprd8mSJRCLxUV2bC8P+vXrh4oVKyIrK0ur7ezZswdEhDNnzmi1HV1asmQJJBKJxjYTU1e3bt2MYrUyuVwOPz8/9OrVSydtNW7cGC1atNB6W5qQm5uLpUuXwtHREZ6enrh+/brO2s7IyICtrS2mTp2qszb1RUZGBtzc3HQyBywyMtKoHrrMmDEDFhYWGl2pTVmKDUC1MYneWHBBUciiRYvg7++P6tWrG21BAQBt2rRBcHCw0DG0Jjs7G4sXL4azszOsrKywd+9enbaflJQEmUyGOXPm6LRdoV2+fBkikUgnT8Vyc3NRuXJljex6rC8+/PBDrUxkV9WRI0dARDh69KjQUcpEsYHl4cOHddKe4sn7hQsXdNKeuk6ePIm6deuCiNCvXz+tPikvyeDBg+Hl5WU0N7vKWrRoEcRiMe7cuaP1thQPXc6ePav1trRN8XCgT58+gmXYuHGjQfz7FgoXFCUw5h4K4P82ZLp7967QUTTu4MGD8PPzg0gkQr9+/QR72tutWzfUqVNHkLaFkJeXh5CQEPj6+iI7O1snbX799dewtLTUybhvbXv06BGICKtXrxY6Sv6Xd/fu3YWOUiYDBgyAt7e3zlZfysnJgbe3t056RNSRl5eHMWPGgIjQsGFDwebpAP83ROzvv/8WLIOuvX79Gi4uLjq7KTamhy4XLlwQfA+TnJwc+Pj48LLHJeCCogTGXlCkpaXB2toaX375pdBRNGrmzJkgIoSEhODixYuCZtm1axeICJcvXxY0h67MnTtXp0+Dgbc34SKRCMuWLdNZm9qiGOuv7UUDlLVgwQKD3ggzOTkZ5ubmWtmg7X1+/vlnSCQSPHr0SKftKmPKlCkQiUSYO3eu4Evc5uXlwd3dvVwtsf3555/DwsIC8fHxOmvTWB66jBkzBs7OzoLvsh4dHQ2xWKyz+UaGhAuKEhh7QQEAn3zyCTw9PQX/YtGUffv2gYjwxRdf6EU3umIzLW3ufq4vtm/fDolEIsjfNTw8HI0aNdJ5u5pWp04dveoRSEpKgpmZGb777juho6hFMbRE1z2Ub968ga2tLcaOHavTdktz8eJFiEQi/PDDD0JHyTdhwgQ4ODjorEdTSNu3bwcR6XyxA2N46JKbmws3Nze9WM46LS0Njo6OGDZsmNBR9A4XFCUoDwWFYu10Qx8nDbx92lW9enWEhobqRTGhMHLkSLi6ugr+VEVb4uPjMXXqVIjFYnTt2hW5ubk6z7BlyxatblqmC9euXQMRYfv27UJHKWDgwIHw8PAQ5P/XslAMPerZs6cg7U+ePBlWVlZ69f3Ro0cP+Pj46NVn0eXLlw1yZSxV7dmzB6ampujcubMg30/h4eFo3LixztvVlEOHDoGIdLrJ5/tMnz4dZmZmSExMFDqKXuGCogTloaCQy+WoUqUKPv74Y6GjlJliJ1x9+cBROHfunNFtJJiXl4edO3eiffv2EIvFMDc3xxdffCHYTWdWVhacnJwwevRoQdrXhGnTpsHOzk7rK2OpSvH7q82dk7Vh1apVICLBhj0+fvwYUqkU8+bNE6T9whQr+0VHRwsdpQC5XI6aNWsa5b5IWVlZ2L17N3r27AkiQqdOnQTb7HTr1q0gIvz777+CtF9WH3/8MapWrao3DwufP38OU1NTzJgxQ+goeoULihKUh4ICAL755htYWloKsgybJnXo0EEvn8AoNhLs3bu30FE0IjExEcHBwSAiBAYGYunSpXrxb2TcuHFwcHBAZmam0FFUJpfL4e3trbcTJ+vXr48OHToIHUNpKSkpcHNzQ9euXQXN0adPH3h6eupFj8DPP/8MExMTvdx76IcffoC5ubnBj/FXePXqFUaNGgU7OzsQEfz9/REdHS3o0OLs7Gy4uLhg5MiRgmVQV3p6OqysrDB9+nShoxTw2WefwcXFRbAiUR9xQVGC8lJQPHjwAESENWvWCB1FbcnJyahQoQLmz58vdJRi/fDDDzAzM9ObybbqksvlaNeuHRwdHXHkyBGh4xRw48YNg92dPCYmRq+HHv72228Qi8V6Ocm4MLlcjj59+sDc3ByxsbGCZlGsSrNp0yZBcwBvlyNu37690DGK9fDhQ4P/DlJITk6Gv78/bGxsMGnSJFy5ckVvnqpPnDgRdnZ2BncDvHr1ar1ckfLWrVsQiURYvny50FH0BhcUJSgvBQUANGvWDK1btxY6htoUS+Dq6w2PYjnQ//3vf0JHKRPFTqH6Ns5f4YMPPkBYWJjQMVT26aefwsPDQ28XR3jz5g2srKz0fkW47OxsjB07FkSEtWvXCh0HwNvP1iZNmgia4enTpxCJRFrfub4sgoODER4eLnSMMvv8889hZWWllzuA3759G0SEdevWCR1FaXK5HIGBgXr7ud6pUyf4+/vr7We3rnFBUYLyVFAsX74cIpFIp0vZaVJkZKReDnd6V4sWLdCyZUuhY5RJeHg46tWrpzdP3ApT/B7ra2FZnIyMDNjY2GDatGlCR3mvIUOGoGLFinoxfEchNzcXMTExmDdvHvr06QMvLy+IxWKdbKqoLMXKPkLO7YqOjoZUKsXLly8Fy1CaxYsXQyKRCLLBnqY8ffoUMplMr1dFa9asGVq1aiV0DKUp9irR10n7J06cABFhz549QkfRC1xQlKA8FRTJyckwNTXFrFmzhI6isjdv3sDU1BSzZ88WOsp7/f777xCJRIJtsldWL168gFgsxtKlS4WOUqKUlBRYWFjgm2++ETqK0lasWAGRSKSTXXPL4tKlSyAibNu2TegoAN72+tWqVQtEBFNTUzRu3BhDhw7F+fPnhY5WQG5uLqpUqSLoRlgtWrRAmzZtBGtfGS9evIBUKtWrYlBV8+fPR4UKFZCUlCR0lBIpFiswhD0U5HI5GjdujAYNGuhtD4BcLkfDhg0N/mGhpnBBUYLyVFAAQFRUFPz9/fX26XNJNm7caBAfkMnJyTAzM8PMmTOFjqIWRUH07NkzoaO818CBA+Hl5aW3X0DvysvLQ40aNfDRRx8JHUUpjRs31ouhB3K5HI0aNYKnpydOnDihV70mxVm4cKFgG90lJCRALBbjt99+03nbqurQoQOCgoKEjqG2Zs2aoV27dkLHeC/Fhrb63iMKvN1YU5/nliko7kEuXLggdBTBcUFRgvJWUOzfvx9EhHPnzgkdRSU9evRAvXr1hI6hlKioKNSoUcPgijYA6NixI4KDg4WOUapTp06BiHDo0CGho5RqxYoVICKcOnVK6ChKURSVDx48EDSHYonoY8eOCZpDWW/evIGNjQ0mTJig87aXLl0KsViM58+f67xtVa1fvx5EhHv37gkdRWUJCQkGM0F36NChejd88V1yuRyrVq2CVCo1iKXAc3Jy4OXlhV69egkdRXBcUBSyaNEi+Pv7o3r16uWqoNCnnSiVlZGRAUtLS70es/ouxU7e+jYsozRv3ryBTCbDnDlzhI5SKsUyvUJtaKas2NhYODg4GNSXUFpaGmxsbDBlyhRBc0RERBjczugTJkyAjY2NzpdGbdOmDVq0aKHTNtWVlpYGCwsLg1zbf9myZQZTuClWH9OHeQlyuRzLly9Hx44dERoairCwMNSuXRtEhI8//lhvi57CFixYAIlEYrBDmjVFTKyA4cOH040bN+jcuXNCR9EpiURCffr0oXXr1lF2drbQcZRy8OBBSk1Npc6dOwsdRSmhoaHk4uJCa9asETqKSvbv309ZWVkUGRkpdJRSiUQiGjRoEG3dupVevnwpdBwiInr9+jU9ffqU5HI5ERFduHCBQkNDycrKin7++WeB0ynP3Nyc+vXrRytWrBDsMyI9PZ0OHDhAXbp0EaR9dY0YMYJSU1Np5cqVOmvz+fPndOTIEeratavO2iwLc3NzioyMpLVr1xIAoeOoZNu2bdS0aVNycnISOkqp6tevT3Xr1qXly5cLHYV+/PFH+uSTTyg9PZ3s7e3J0tKS6tatS3v27KGVK1eSVCoVOqJSBg4caHCf51ohdEWjr8rbkCcAuHr1ql4vC1pYREQEateuLXQMlYwdOxZOTk7Izs4WOorSevXqZVA/54SEBEilUvz888+C5pDL5Zg8eTLEYjGICDKZLH+zq5o1axrk0I5r164Jut+HYtWk27dvC9J+WfTo0QNVqlTR2Y7yP/74I2QymV6v7lSYYuitIfXiKvZBWrBggdBRlLZo0SJIJBL8999/gmV48uQJTE1NBRkKqA2TJ0+GlZWVXm4eqSvcQ8Hy1apVi+rVq0erVq0SOkqpnj17Rrt27aLBgwcLHUUlffv2pRcvXtDBgweFjqKUrKws2r17t8H0AhEROTs7U6dOnWjFihWCPunctm0bzZo1i7788kvasWMH/fTTTzRhwgTasWMHXb58mapUqSJYNnXVrFmTgoODaenSpYK0v23bNqpRowZVr15dkPbLYuzYsXT//n3avXu31tvKzc2lpUuXUrdu3cje3l7r7WlKq1atyNXV1aB6cffs2UPZ2dkUEREhdBSl9erVi0xMTAT9rt+0aRPJ5XKaOnWqYBk0acSIEZSZmakXPT+CEbqi0VflsYcCeDsW0MTEBImJiUJHea9JkybBwsICr169EjqKSuRyOQICAtC9e3ehoyhl7969ICJcuXJF6Cgq2bNnj+CLDAQGBhr0hpElUexcq+ulbnNycmBvb4+pU6fqtF1NatKkCZo1a6b1dn7//XcQES5evKj1tjRt3LhxBtWL26VLFwQGBgodQ2V9+vRBtWrVBFskpHnz5kaxmeG7+vfvj8qVKxvM766mcQ8FKyAqKooA0IYNG4SOUqK4uDj65ZdfaNSoUWRnZyd0HJWIRCLq27cv7dixg16/fi10nFJt2bKFqlatSrVq1RI6ikrCwsKoUqVKtGLFCkHaj4+Pp/Pnz9OAAQMEaV+bunbtSvb29vTbb7/ptN2TJ0/Sq1evDGIuT0nGjBlDJ06coIsXL2qtjYSEBJo0aRJ1796d6tWrp7V2tEXRi3vgwAGho5QqLS2N9u7dazDzVN41aNAgunv3Lp08eVLnbb98+ZJOnDhhUL06yhg7dizFx8fTpk2bynQduVxOP/30EzVv3pwGDRpEqampGkqoXVxQsAKcnZ0pPDycVq9eLXQUOnXqFG3ZsqXA5Nq0tDTq1asX2dvb04QJEwRMp77evXtTTk4Obd68Wego75Wamkp//vknRUVFkUgkEjqOSiQSCX388ce0bt06Sk9P13n7O3fuJBMTE2rXrp3O29Y2MzMz6t+/P61cuZKysrJ01u727dvJ3d2dGjRooLM2NS0iIoI8PT1p/vz5ZboOAJoxYwbVqVOHevToQRs2bKDExES6dOkStWnThsRiMS1cuFBDqXWrTp06VLt2bb34DirN7t27KSMjw+AWCSAiCgkJoapVqwoyRGf37t0EgDp16qTztrWpdu3a1KZNG5ozZ06ZhtsuXLiQJk2aRDY2NnTv3j2ysLDQYEotEraDRH+V1yFPALBp0yYQEW7evClYhh9++AFEBCKCRCJB69atMXr0aFSrVg0WFhYGs3Z/SVq3bq2ToQ9lsWzZMohEIsTGxgodRS33798HEWH16tU6bzs0NNQohzsp3Lx5E0SEtWvX6qS9vLw8uLu74/PPP9dJe9o0b948SKVSPH78WO1rLFmyBESEqKgoNGjQIP+zkohQtWpVXLt2TYOJdW/OnDmQyWR6ves08HYXckPYn6ckM2fOhKmpqc5/zh999BGaNGmi0zZ15eDBgyAiHDlyRK3z09PT4ejoiM8++0zDybSPC4oSlOeCIjMzE7a2toKtN//48WOYmJhg3LhxiI+Px+LFixEaGorq1auja9euuH79uiC5NGnNmjUgIjx8+FDoKMXKzs6Gj48PIiIihI5SJi1atEBISIhO20xKSoJUKkV0dLRO29W1kJAQnRXFp0+fBhHh+PHjOmlPm5KTk2FlZaX252t2djbc3d3Ru3fv/NdiY2OxceNGHDhwAJmZmZqKKpinT5/q/Q7fV65c0WlRrQ1Pnz6FRCLR6WdVWloazMzM8NNPP+msTV2Sy+WoXbu22rumr127FkSEu3fvajiZ9nFBUYLyXFAAwJAhQ+Du7q6zJQ7fNW3aNNjY2Bj1zz41NVXwTZzS09OxfPlyrFu3Dunp6QXemzFjBkQikcFNxi7sjz/+0PmHs+ILIT4+XmdtCkGxs/GNGze03ta4cePg7OwsyOeRNowePRr29vZIS0tT+VzFE1BDWlpVHWFhYWjatKmgGeRyOVJSUop9PTw8HFWqVEFWVpYAyTSnU6dOqF+/vs7aU+x0r+tFHXRp1apVICK1Hn726NEDDRo00EIq7eOCogTlvaA4deoUiAiHDx/WedsBAQHo16+fztvVtX79+gm2yobiC1ExTMLBwQFfffUVzpw5g2+//RYikQhffvmlznNpWnp6us5727p162aQq76oKjMzE46Ojhg1apTW23FycsLIkSO12o4uPXjwAGKxGL/++qvK544cORKVK1cWbHUeXVEU5vfv3xek/WfPniEgIABEhA8//BD79++HXC6HXC7PH5K7Y8cOQbJp0s6dO0FEuHDhgk7a69evH2rUqKGTtoSSlZWFihUrYtCgQSqfZ2Njg2+++UZLybSLC4oSlPeCQi6Xo1q1ajq/sY+NjRV04yxdOnToEIgIp0+f1nnb+/bty/9CvHv3LkaMGAFzc3MQEaRSKaZMmYK8vDyd59KG4cOHw83NDTk5OVpvKzMzE5aWlvjuu++03pY+mDBhAmxtbYv0cGmS4mmfkHO6tKFLly6oXr26Sv/O5HI5vL29MXToUC0m0w9paWmwtLQU7Oaqb9++cHR0xOLFi9GwYUMQEapUqYKaNWuCiIzigQvwdjlmNzc3DBs2TOttZWZmwsbGBl999ZXW2xLarFmzUKFCBZU2Dzx8+LDBLvcMcEFRxKJFi+Dv74/q1auX64ICeDvsxcLCAm/evNFZm4sWLYJUKi0XP/fc3FxUqlRJJx/khXXu3Bn16tUr8JQzOTkZFy5c0Ps9SFR18eJFEBF27dql9bZ27doFIjL4SbHKunv3LogIq1atUvsab968waRJkzBixIgiwyDS0tLg6emJjz76qKxR9Y6iF1iVhyc3btwAEWHPnj1aTKY/Pv74Y1SpUkXnvTGvX7+GVCrFvHnzALwt5A4fPoxhw4Zh0KBB2Ldvn07zaNuUKVNgY2Oj1hA8VSj2BzL0obTKSEpKgqWlpUr75owePRru7u4G2/vIBUUJynsPBfC2t0AkEmHFihU6a7Nt27Zo1aqVztoT2sSJE2Fvb6/TcbiKSXGzZs3SWZtCq1evnk4mmPfv3x/+/v5ab0efhIaGomHDhmp/CUZFRcHMzAyurq4wMTHBxIkTkZycjLS0NHTt2hVmZma4ffu2hlPrh7CwMPj5+Sk9N+Snn36CmZmZVnuE9MmRI0dARIiJidFpuxs3bgQRGewKd6q6f/8+RCIRli1bptV2unfvDn9/f4O9YVaVYgPep0+fKnV89erVMXjwYC2n0h4uKErABcVbbdu2RaNGjXTSVmpqKmQyGebPn6+T9vTB1atXQUTYtm2bztrcunWr0U+KK0zR86VK97OqFPM1vvjiC621oY92796t9gpMDx48ABFh2bJlSE9Px/Tp02FmZoYKFSrA3NwcMpkMW7du1UJq/XD+/HkQEf73v/8pdfyHH36Ijh07ajmV/sjLy4OHhwc++eQTnbbbp08f1KlTR6dtCq1jx46oVatWmW7209PTS1wOOS4uDhKJBL/88ova1zc0SUlJsLe3x6efflrqsYreXl3eC2gaFxQl4ILiLcWKDLoY06doyxCXSyuLevXqoXPnzjprb9CgQeXuKfqrV68gk8m02iuzYsUKiEQi3Lt3T2tt6KO8vDzUqFEDHTp0UPncn3/+GSYmJgU+Z+Pj4/HLL79g9uzZ5eJn2aVLF3h6epa63GtiYqLeL6WqDdOnT4eFhUWxqy1pQ05ODuzs7MrdgwHF+P2//vpLrfPv3bsHNzc3EBE6dOhQZDJ937594eDgoLP/H/XFvHnzIBaLS10Nb+HChTAxMTHonw8XFCXgguKtnJwcVKxYUSebrAwcOBB+fn5ab0ffzJ8/HyYmJnj58qXW25LL5ahUqRLGjBmj9bb0Tb9+/eDh4aH25OyVK1fC0tIS9evXL7IiSnZ2Nvz8/NS6qTYGv//+u1pLyBr7BoDKuHHjBsRicanr8iv2rlF2+ISxiIuL02khdfz4cRARzpw5o5P29IVcLketWrXUnq/UuXNneHp6YunSpahcuTJMTU3x3Xff4c2bN5g7dy6ICMuXL9dwav2XmZkJb29vhIaGvrf3p0WLFggNDdVhMs3jgqIEXFD8n6+++gqWlpZarZzz8vLg4uKCCRMmaK0NffXs2TNIJBK1lpBU1bVr10BEOHDggNbb0jeXLl1SewWxp0+fokKFCoiIiED9+vUhk8nwyy+/5K/QM2XKFIjFYly+fFnTsQ1CZmYm3NzcVFomMTk5GSYmJuVqCERJRo0aBQsLC8TFxZV4TNeuXcvFcsTFadeuHRo2bKiTtsaPHw9XV1ejWeVOFb/99htEIpHKS/XGx8dDJBJh6dKlAN4OX544cSKkUmn+0uTjxo0rN3MnClOsqvj7778X+77i51fS+4aCC4oScEHxfxRPiJYsWaK1Nv766y9BJt/pi3bt2uGDDz7Qejtz5syBmZkZMjIytN6WPmrevLlaP+elS5dCIpHg5cuXyMjIwPDhw0FEqFGjBpo0aQIiwo8//qiFxIZDsUzikydPlDr+zz//LFcTX98nOTkZbm5uiIiIKPam6+XLl6hQoQJmz54tQDrhbd++HUSkk4Ld19dX53M29EVaWhrs7e1V7sFevHgxJBIJkpKSCrx+8+ZN/P777zrb40Kf9e3bF7a2tsV+3inmjr1+/VqAZJpjlAVFTk4Opk2bBi8vL5iamsLb2xvffPONSk8cuKAoqGPHjkWWGVXFP//8g3nz5pU4KbZ3796oXr16uX2CoVhVRNvLjYaGhqJt27ZabUOf7dixA0SEf/75R6Xz2rdvj5CQkAKvnThxAn379kVERAQ2bdqkwZSG6fXr17Czs8Pw4cOVOr5v374ICAjQcirDsXnzZhBRsUN75s+fD6lUimfPngmQTHiKvRKU/d1S161bt4xmwzp1TZkyBVZWVnj16pXS57Rr1w7NmzfXYirD9/LlS3h5eaFu3bpITU3Nf10xcXvEiBECptMMoywovvvuOzg4OGD37t14+PAhNm3aBEtLSyxYsEDpa3BBUZBi/WhVb8QA4MKFCzAxMQERwdHRscikr4cPH8LExARz5szRVFyDk5WVBRcXF63uSfH8+XNIJBIsXrxYa23ou7y8PFStWhXdu3dX+hzF6mNz587VYjLjMHPmTJiYmODhw4fvPS43NxcODg4qrdFeHgwZMgQymQwnT57Mfy0lJQWurq4632RU30ydOlXreyV8//33sLCwKDfL8hbn2bNnMDMzw/Tp05U6Pi0tDaampuX6+1tZly9fhoWFBYKDg/H06VPk5OSgW7dusLa2LnF1LENilAVF+/btMXDgwAKvde7cGX369FH6GlxQFJSbm6vyjZhCREQEfH198eTJE7Ru3RoSiQTz58+HXC5Hbm4u2rVrBxcXlwJVe3mkmKui7u/cf//9h7///rvEnrhff/0VEokEz58/L0tMg7do0SKIxWKlxwkrVh8rT8vsqis1NRUuLi4YMGDAe487ceKE2g8ojFlGRgaaN28OS0tL/PHHH/jvv//w0UcfwdLSstQizdjdv39fpSV21VG/fn1069ZNa9c3FKNGjYKdnZ1S30WKh43GtpO9tpw+fRpOTk6QyWRwdnaGRCLB5s2bhY6lEUZZUMycOROenp75myFdvnwZzs7OWLdundLX4IKiKMWNmCpfbIWfXuTk5GD8+PEgIjRv3hyNGjWCWCzG3r17tZTacDx+/FjtdbofPHgAOzs7EBFatWpVZAK9XC5HQEAA2rdvr6m4BistLQ0uLi5KTyAeMGBAuVtmtyx+/vlniMXi9+6GO2bMGLi5uZXLia+lSU1NRffu3fMns5qZmWHnzp1Cx9ILYWFhaNCggVpDYzds2AAbGxs0a9as2MnvFy5cABEZ9b4nynr8+DEqVKiAmTNnlnrsiBEj4OnpWW6HK6sjKSkJ8+fPx+TJk3WyJL+uGGVBIZfLMXnyZIhEIkilUohEIvzwww/vPSczMxPJycn5f+Lj47mgKCQ1NRV2dnYqTdhSbHpV+OnFli1b0KZNG4SHh+Pw4cOajmqwunXrBj8/P5U/nCdNmgQHBwds2LAB1tbWCAwMLNATodjM7siRI5qObJDmzZsHiURSai9Fbm4unJycMGnSJB0lM3xZWVnw8/NDcHBwsQWDXC6Hp6enVof3GYOLFy9iw4YNSk9yLw/27t0LIsLff/+t0nmvXr2CtbU1WrduDQ8PD1SsWBFXr14tcExUVBQqV66s9rLSxmbIkCFwcHAodaJw9erVldq4jRk/oywo1q9fD3d3d6xfvx5XrlzB6tWrYW9v/96u0q+//jr/idC7f7igKGjq1KmwsrJSejWCYcOGwdvbm59eKOnYsWMgIpWLLD8/v/xhJhcvXoSLiwuqV6+Oo0ePIiYmBs7Ozmjfvj3///D/KXopCg+NLCwmJqZcrz6mrqNHj4KI8peRfJfid5yLW6aqvLw8+Pr6omvXriqdt3btWhARHj9+jP/++w916tSBra1tfmGiGLZT3jYNfJ/Hjx/D3Nz8vUu5P3z4kHt1WD6jLCjc3d2xaNGiAq/NmDEDvr6+JZ7DPRTKefLkCUxMTErdhAl4+yTSy8sLn3/+uQ6SGQfF5kKqDE26ffs2iAjbt2/Pf+3evXuoV69efmFct25dJCQkaCOywZo/fz4kEsl7N2ObMGECnJyckJubq8NkxmHQoLo8318AAB6ESURBVEEwMzMrMvQpIiIC/v7+XNwytURHR0MsFqu03HBUVBTq16+f/79fv36NkJAQiMViBAYGQiKRoGPHjjwEr5Dp06ejQoUKJfbkzpkzBzKZjO+TGABATEYoPT2dxOKCfzWJREJyubzEc2QyGVlbWxf4w4qqWLEi9e/fn2bPnk2pqanvPfbmzZsUGxtL7dq101E6wycSiWjChAm0Z88eunr1qlLn7Ny5k0xNTSk0NDT/tSpVqtC5c+foxIkTdOjQITp37hw5OztrK7ZBGjp0KHl7e9PIkSMJQJH3AdCWLVsoMjKSJBKJAAkN28KFC6latWrUoUMHunfvHhERHThwgLZv306TJ08mkUgkcEJmiPr160fW1tYUHR2t1PG5ubm0b98+6tChQ/5rNjY2dODAAVq8eDH5+/vT3LlzafPmzUXuG8q78ePHk7OzMw0bNqzYz8h169ZRhw4d+H6JvSVwQaMV/fv3R6VKlfKXjd26dSscHR0xceJEpa/Bk7JLFhsbCxMTk1InbM2ePRumpqblegk+dWRnZ8PDwwO9evVS6vimTZuiY8eOWk5lnBRzfIrbR+L8+fMgIhw8eFCAZMYhPj4evr6+sLS0RGRkJMzMzNC2bVt+EszKZMKECbCxsSmykVpxFCuKnTlzRgfJjI9i3kp0dHSB10+fPg0iwrZt2wRKxvSNURYUKSkpGDVqFDw8PGBqagofHx9MmzYNWVlZSl+DC4r3GzZsGOzt7d/782nWrBk6dOigw1TGY+HChUotbfr8+XOIxWIsX75cR8mMT2RkJOzt7REfH1/g9QEDBsDd3R3Z2dkCJTMOSUlJmDx5Mpo1a4ZJkyaV++WhWdk9ffoUpqam+Oabb0o9duLEiXB2duYitgyGDRsGExOT/IcreXl5aNmyJXx9fXk4KMtnlAWFJnBB8X5PnjyBqalpiavfJCYmQiwW8yQ3NaWlpcHJyanU1TNWrlwJkUhUbnfQ1YTExES4u7ujUaNG+f/eb9y4ofRcIcaY7o0cORK2tralLhBSo0aNUvdFYe+XnZ2N8PBwmJiYYMKECejRoweICAcOHBA6GtMjPGCQqaVixYo0depUmjt3Ll2/fr3I+9u3bycA1L59ewHSGT5zc3OaOHEirVixgm7dulXicTt27KCgoCBycXHRYTrj4uDgQNu2baPbt29TkyZNaMGCBdShQwfy8fGhESNGCB2PMVaMSZMmUUZGBv3yyy8lHvPw4UO6ceNGgfkTTHUmJia0bds2Gjt2LC1btoxOnDhBq1evpjZt2ggdjekREVDMTBtGKSkpZGNjQ8nJyTzhqARZWVlUu3ZtcnR0pGPHjpGJiUn+e0FBQWRra0v79+8XMKFhy8zMJD8/P6pbty5t3769yPupqank7OxM06dPp4kTJwqQ0LhcvXqVhg8fTjExMdSoUSNat24deXt7Cx2LMVaCUaNG0f/+9z+6c+dOsQ9V5s+fT1OmTKEXL16QlZWVAAkZKz+4h4KpTSaT0cqVK+ns2bM0fvz4/FUg/vrrLzpz5gwNGzZM4ISGzdTUlGbOnEk7duygw4cPF3l/z549lJGRQd26dRMgnfEJCAigEydOUE5ODv3zzz9cTDCm57766iuSSqU0efLkYt/funUrtW7dmosJxnSAeyhKwD0UyouOjqbPP/+cBgwYQJGRkTRs2DDy9vam48eP89KQZSSXy6lVq1b04MEDunr1aoHfxbZt21JSUhKdOXNGwISMMSacJUuW0NChQ+nYsWMUEhKS//r9+/epWrVqtHLlSurfv7+ACRkrH7igKAEXFKpZsWIFjR07llJSUqh27dq0b98+qlixotCxjEJsbCwFBARQaGgobd68mSQSCZ07d44aNWpEa9eupV69egkdkTHGBJGXl0ctW7ake/fu0aVLl/L32xkxYgStW7eOHj9+TGZmZgKnZMz4cUFRAi4oVJeWlkZPnjyhKlWq8EZgGrZr1y6KjIyk9u3b06BBg2j8+PFkYWFBZ8+eLTB3hTHGypsnT55Q/fr1ydXVlbZv304PHz6kNm3a0HfffVficCjGmGZxQVFIdHQ0RUdHU15eHt25c4cLCqY3du3aRYMGDaIXL15Q9erVac+ePVS1alWhYzHGmOCuX79O4eHhFB8fT0RErVq1or1791KFChUETsZY+cAFRQm4h4Lpo+zsbIqLiyMvLy+SSqVCx2GMMb2RmppK27dvJ1NTU4qIiODPSMZ0iAuKEnBBwRhjjDHGWOl42VjGGGOMMcaY2rigYIwxxhhjjKmNCwrGGGOMMcaY2rigYIwxxhhjjKmNl0DQB/sDiTKeCZ2CMcYYY4zpEzNXorbnhU5RKi4o9EHGM6KMJ0KnYIwxxhhjTGVcUOgDM1ehEzDGGGOMMX1jIPeIXFDoAwPoymKMMcYYY6w4PCmbMcYYY4wxpjYuKAqJjo6mGjVqUMOGDYWOwhhjjDHGmN4TAYDQIfRRSkoK2djYUHJyMllbWwsdhzHGGGOMMb3EPRSMMcYYY4wxtXFBwRhjjDHGGFMbFxSMMcYYY4wxtXFBwRhjjDHGGFMbFxSMMcYYY4wxtXFBwRhjjDHGGFMbFxSMMcYYY4wxtXFBwRhjjDHGGFMbFxSMMcYYY4wxtXFBwRhjjDHGGFMbFxSFREdHU40aNahhw4ZCR2GMMcYYY0zviQBA6BD6KCUlhWxsbCg5OZmsra2FjsMYY4wxxphe4h4KxhhjjDHGmNq4oGCMMcYYY4ypjQsKxhhjjDHGmNq4oGCMMcYYY4ypjQsKxhhjjDHGmNqMtqB48uQJ9enThxwcHMjc3Jzq1q1LFy5cEDoWY4wxxhhjRkUqdABtSEpKouDgYGrRogXt27ePnJ2d6f79+2Rrayt0NMYYY4wxxoyKURYUP/74I1WuXJlWrlyZ/5qXl5dwgRhjjDHGGDNSRjnkaefOnRQYGEjdunUjZ2dnqlevHi1b9v/au9fgqOr7j+OfDSQbiNklgSYxJlxaHWUnwCjZYhBExeEy2JbqdKrD0Na2DnRCQHhQxTIDyky3DxxpZww4YGXGcWyoF2imWEsQCDAJlBIZQmnD1UJtEOWyi2KX2/f/gD87LklMciA5m5P3a2Yf5OzvnPPdzZfNfvidyyq3ywIAAAA8x5OB4siRI1qxYoXuuOMO/fWvf9Xs2bM1d+5cvf76622uE4/HFYvFkh4AAAAAvp7PzMztIm62jIwMlZaWqq6uLrFs7ty52rVrl+rr61tdZ8mSJXr++edbLI9GowoEAl1WKwAAANCTeXKG4tZbb1UoFEpaNnz4cB07dqzNdRYuXKhoNJp4HD9+vKvLBAAAAHo8T56Ufd9996mpqSlp2YEDBzRkyJA21/H7/fL7/V1dGgAAAOApnpyhmD9/vnbs2KFf//rXOnTokN58802tXLlS5eXlbpcGAAAAeIonz6GQpD//+c9auHChDh48qGHDhmnBggV66qmnOrx+LBZTMBjkHAoAAADga3g2UNwoAgUAAADQPk8e8gQAAACgexAoAAAAADhGoAAAAADgGIECAAAAgGMECgAAAACOESgAAAAAOEaguE5lZaVCoZDC4bDbpQAAAAApj/tQtIH7UAAAAADtY4YCAAAAgGMECgAAAACOESgAAAAAOEagAAAAAOAYgQIAAACAYwQKAAAAAI4RKAAAAAA4RqAAAAAA4BiBAgAAAIBjBAoAAAAAjhEorlNZWalQKKRwOOx2KQAAAEDK85mZuV1EKorFYgoGg4pGowoEAm6XAwAAAKQkZigAAAAAOEagAAAAAOAYgQIAAACAYwQKAAAAAI4RKAAAAAA4RqAAAAAA4BiBAgAAAIBjBAoAAAAAjhEoAAAAADhGoAAAAADgGIHiOpWVlQqFQgqHw26XAgAAAKQ8n5mZ20WkolgspmAwqGg0qkAg4HY5AAAAQEpihgIAAACAYwQKAAAAAI4RKAAAAAA4RqAAAAAA4BiBAgAAAIBjvSJQRCIR+Xw+Pf30026XAgAAAHiK5wPFrl27tHLlSo0cOdLtUgAAAADP8XSg+PzzzzVjxgytWrVKOTk5bpcDAAAAeI6nA0V5ebmmTZumhx9+2O1SAAAAAE/q63YBXaWqqkoNDQ3atWtXh8bH43HF4/HEz7FYrKtKAwAAADzDkzMUx48f17x58/TGG28oMzOzQ+tEIhEFg8HEo7i4uIurBAAAAHo+n5mZ20XcbOvWrdP3v/999enTJ7Hs8uXL8vl8SktLUzweT3pOan2Gori4WNFoVIFAoNtqBwAAAHoSTx7yNHHiRDU2NiYte/LJJ3XXXXfpmWeeaREmJMnv98vv93dXiQAAAIAneDJQZGdnq6SkJGlZVlaWBg4c2GI5AAAAAOc8eQ4FAAAAgO7hyXMoboZYLKZgMMg5FAAAAMDXYIYCAAAAgGMECgAAAACOESgAAAAAOEagAAAAAOAYgQIAAACAYwQKAAAAAI4RKK5TWVmpUCikcDjsdikAAABAyuM+FG3gPhQAAABA+5ihAAAAAOAYgQIAAACAYwQKAAAAAI4RKAAAAAA4RqAAAAAA4BiBAgAAAIBjBAoAAAAAjhEoAAAAADhGoAAAAADgGIECAAAAgGMEiutUVlYqFAopHA67XQoAAACQ8nxmZm4XkYpisZiCwaCi0agCgYDb5QAAAAApiRkKAAAAAI4RKAAAAAA4RqAAAAAA4BiBAgAAAIBjBAoAAAAAjhEoAAAAADhGoAAAAADgGIECAAAAgGMECgAAAACOESgAAAAAOEaguE5lZaVCoZDC4bDbpQAAAAApz2dm5nYRqSgWiykYDCoajSoQCLhdDgAAAJCSmKEAAAAA4BiBAgAAAIBjBAoAAAAAjhEoAAAAADhGoAAAAADgGIECAAAAgGOeDBSRSEThcFjZ2dnKy8vT9OnT1dTU5HZZAAAAgOd4MlDU1taqvLxcO3bsUE1NjS5duqRJkybpiy++cLs0AAAAwFN6xY3tPv30U+Xl5am2tlb3339/h9bhxnYAAABA+/q6XUB3iEajkqTc3Nw2x8TjccXj8cTPsVisy+sCAAAAejpPHvL0VWamBQsWaNy4cSopKWlzXCQSUTAYTDyKi4u7sUoAAACgZ/L8IU/l5eVav369tm/frqKiojbHtTZDUVxczCFPAAAAwNfw9CFPFRUVqq6u1tatW782TEiS3++X3+/vpsoAAAAAb/BkoDAzVVRUaO3atdqyZYuGDRvmdkkAAACAJ3kyUJSXl+vNN9/Un/70J2VnZ+vEiROSpGAwqH79+rlcHQAAAOAdnjyHwufztbp89erV+slPftKhbXDZWAAAAKB9npyh8GBGAgAAAFKS5y8bCwAAAKDrECgAAAAAOEagAAAAAOAYgQIAAACAYwQKAAAAAI4RKK5TWVmpUCikcDjsdikAAABAyvPkfShuBu5DAQAAALSPGQoAAAAAjhEoAAAAADhGoAAAAADgGIECAAAAgGMECgAAAACOESgAAAAAOEagAAAAAOAYgQIAAACAYwQKAAAAAI4RKAAAAAA4RqC4TmVlpUKhkMLhsNulAAAAACnPZ2bmdhGpKBaLKRgMKhqNKhAIuF0OAAAAkJKYoQAAAADgGIECAAAAgGMECgAAAACOESgAAAAAOEagAAAAAOAYgQIAAACAYwQKAAAAAI4RKAAAAABox44dqq2t7fR6BAoAAAAAmj59upYvX97p9QgUAAAAQC/3z3/+U5988onGjh3b6XUJFNeprKxUKBRSOBx2uxQAAACgW2zfvl2SdP/993d6XZ+Z2c0uyAtisZiCwaCi0agCgYDb5QAAAABd5kc/+pGqq6t1+vRppaV1bs6BGQoAAACgF6qqqlJpaalKS0v1xhtvKD09Xd/+9rdVWlqqnTt3dng7zFC0gRkKAAAA9AbHjx/X4MGD9Zvf/EbPPPNMp9dnhgIAAADoxTZv3ixJmjBhgqP1CRQAAABAL7ZlyxZlZWWptLTU0foECgAAAKAX27Jli+677z717dvX0foECgAAAKCXOn78uI4ePer4cCfJ44Fi+fLlGjZsmDIzMzV69Ght27bN7ZIAAACAlNHa+RPLli1TZ67b5NlAsWbNGj399NP61a9+pQ8//FDjx4/X1KlTdezYMbdLAwAAAFLCrl271KdPn8RNnY8cOaKPPvpIPp+vw9vwbKB46aWX9LOf/Uw///nPNXz4cP32t79VcXGxVqxY4XZpAAAAQErIzc3VgAEDlJGRoVgspoULF2rJkiWd2oazMy9S3IULF7R79249++yzScsnTZqkurq6VteJx+OKx+OJn2OxmKN9m5nOnTvnaF0AAADgRmRnZ3dqdmHevHmqq6vT448/rvT0dC1dulQ5OTmd2qcnA8Vnn32my5cvKz8/P2l5fn6+Tpw40eo6kUhEzz///A3v+9y5cwoGgze8HQAAAKCzOntT5tzcXNXU1NzQPj0ZKK65Pp2ZWZuJbeHChVqwYEHi51gspuLi4k7vMzs7W9FotFPrXNvX8ePHXbsrdzgc1q5du1zZdyrs3+0aUqEHJPd/D719/6nQB26/B6lQA58Fvft3kAr7T4U+cPs9SIUaeupnQXZ2dhdV1TZPBopBgwapT58+LWYjTp482WLW4hq/3y+/33/D+/b5fI7/8QcCAdc+OPr06ePqHy+3958qNbjZA5L770Fv3/81vfmzIBVqcHv/Ep8FvX3/1/BZQB+4/VnQUZ48KTsjI0OjR49uMX1TU1OjsWPHulRVaisvL+/V+0+VGtzm9nvQ2/efClLhPXC7Brf3nwrcfg96+/5TQSq8B27X4Pb+exKfdeYisz3ImjVrNHPmTL3yyisqKyvTypUrtWrVKv3jH//QkCFD2l0/FospGAx2+jg0J7pzX0hN9AAk+gD0AK6iD9DTesCThzxJ0g9/+EOdOnVKL7zwgpqbm1VSUqL33nuvQ2Giu/n9fi1evPimHHKFnokegEQfgB7AVfQBeloPeHaG4kZdu/xrZy+9BQAAAPQmBAoAAAAAjnnypGwAAAAA3YNAAQAAAMAxAgUAAAAAxwgUN0EkElE4HFZ2drby8vI0ffp0NTU1JY2Jx+OqqKjQoEGDlJWVpe9+97v6z3/+kzTm2LFj+s53vqOsrCwNGjRIc+fO1YULF5LG1NbWavTo0crMzNQ3v/lNvfLKK13++tAx7fXB6dOnVVFRoTvvvFP9+/fX4MGDNXfu3BZ3VqcPeq6OfBZcY2aaOnWqfD6f1q1bl/QcPdCzdbQP6uvr9dBDDykrK0sDBgzQAw88oC+//DLx/JkzZzRz5kwFg0EFg0HNnDlTZ8+eTdpGY2OjJkyYoH79+um2227TCy+8IE6NdF9HeuDEiROaOXOmCgoKlJWVpXvuuUdvv/120hh6oGdbsWKFRo4cmbg5XVlZmf7yl78knvfUd0PDDZs8ebKtXr3a9u3bZ3v27LFp06bZ4MGD7fPPP0+MmT17tt12221WU1NjDQ0N9uCDD9qoUaPs0qVLZmZ26dIlKykpsQcffNAaGhqspqbGCgsLbc6cOYltHDlyxPr372/z5s2z/fv326pVqyw9Pd3efvvtbn/NaKm9PmhsbLRHH33Uqqur7dChQ/bBBx/YHXfcYY899lhiG/RBz9aRz4JrXnrpJZs6dapJsrVr1yaW0wM9X0f6oK6uzgKBgEUiEdu3b58dOHDA3nrrLfvf//6XGDNlyhQrKSmxuro6q6urs5KSEnvkkUcSz0ejUcvPz7fHH3/cGhsb7Z133rHs7Gx78cUXu/X1oqWO9MDDDz9s4XDYdu7caYcPH7alS5daWlqaNTQ0JMbQAz1bdXW1rV+/3pqamqypqcmee+45S09Pt3379pmZt74bEii6wMmTJ02S1dbWmpnZ2bNnLT093aqqqhJjPv74Y0tLS7P333/fzMzee+89S0tLs48//jgx5g9/+IP5/X6LRqNmZvbLX/7S7rrrrqR9zZo1y+69996ufklw4Po+aM0f//hHy8jIsIsXL5oZfeA1bfXAnj17rKioyJqbm1sECnrAe1rrgzFjxtiiRYvaXGf//v0myXbs2JFYVl9fb5LsX//6l5mZLV++3ILBYFIIiUQiVlhYaFeuXOmCVwKnWuuBrKwse/3115PG5ebm2quvvmpm9IBX5eTk2Kuvvuq574Yc8tQFrh3CkpubK0navXu3Ll68qEmTJiXGFBYWqqSkRHV1dZKuTn2XlJSosLAwMWby5MmKx+PavXt3YsxXt3FtzN///nddvHixS18TOu/6PmhrTCAQUN++V+8xSR94S2s9cP78eT3xxBN6+eWXVVBQ0GIdesB7ru+DkydPaufOncrLy9PYsWOVn5+vCRMmaPv27Yl16uvrFQwGNWbMmMSye++9V8FgMOnvxoQJE5JufDV58mT997//1UcffdQNrwwd1dpnwbhx47RmzRqdPn1aV65cUVVVleLxuB544AFJ9IDXXL58WVVVVfriiy9UVlbmue+GBIqbzMy0YMECjRs3TiUlJZKuHieZkZGhnJycpLH5+fk6ceJEYkx+fn7S8zk5OcrIyPjaMfn5+bp06ZI+++yzrnpJcKC1PrjeqVOntHTpUs2aNSuxjD7wjrZ6YP78+Ro7dqy+973vtboePeAtrfXBkSNHJElLlizRU089pffff1/33HOPJk6cqIMHD0q6+jvOy8trsb28vLx2++Dac0gNbX0WrFmzRpcuXdLAgQPl9/s1a9YsrV27Vt/61rck0QNe0djYqFtuuUV+v1+zZ8/W2rVrFQqFPPfdsG+37amXmDNnjvbu3Zv0P01tMbOku3C3dkfu9sbY/594xd28U0t7fRCLxTRt2jSFQiEtXrw46Tn6wBta64Hq6mpt2rRJH3744deuSw94R2t9cOXKFUnSrFmz9OSTT0qS7r77bn3wwQd67bXXFIlEJNEHXtHW34NFixbpzJkz2rhxowYNGqR169bpBz/4gbZt26YRI0ZIoge84M4779SePXt09uxZvfPOO/rxj3+s2traNsf31O+GzFDcRBUVFaqurtbmzZtVVFSUWF5QUKALFy7ozJkzSeNPnjyZSJUFBQUt/jfhzJkzunjx4teOOXnypPr27auBAwd2xUuCA231wTXnzp3TlClTdMstt2jt2rVKT09PPEcfeENbPbBp0yYdPnxYAwYMUN++fROHuj322GOJwxzoAe9oqw9uvfVWSVIoFEoaP3z4cB07dkzS1d/xJ5980mKbn376abt9IKnF/1jCHW31wOHDh/Xyyy/rtdde08SJEzVq1CgtXrxYpaWlqqyslEQPeEVGRoZuv/12lZaWKhKJaNSoUfrd737nue+GBIqbwMw0Z84cvfvuu9q0aZOGDRuW9Pzo0aOVnp6umpqaxLLm5mbt27dPY8eOlSSVlZVp3759am5uTozZsGGD/H6/Ro8enRjz1W1cG1NaWpr0pRTuaK8PpKszE5MmTVJGRoaqq6uVmZmZ9Dx90LO11wPPPvus9u7dqz179iQekrRs2TKtXr1aEj3gBe31wdChQ1VYWNjiMqIHDhzQkCFDJF39HUejUf3tb39LPL9z505Fo9Gkvxtbt25NuoTkhg0bVFhYqKFDh3bRq0NHtNcD58+flySlpSV/DevTp09iBose8CYzUzwe9953w247/dvDfvGLX1gwGLQtW7ZYc3Nz4nH+/PnEmNmzZ1tRUZFt3LjRGhoa7KGHHmr10mATJ060hoYG27hxoxUVFbV6abD58+fb/v377fe//z2Xikwh7fVBLBazMWPG2IgRI+zQoUNJY+gDb+jIZ8H11MZlY+mBnqsjfbBs2TILBAL21ltv2cGDB23RokWWmZlphw4dSoyZMmWKjRw50urr662+vt5GjBiRdMnQs2fPWn5+vj3xxBPW2Nho7777rgUCAS4ZmgLa64ELFy7Y7bffbuPHj7edO3faoUOH7MUXXzSfz2fr169PbIce6NkWLlxoW7dutaNHj9revXvtueees7S0NNuwYYOZeeu7IYHiJpDU6mP16tWJMV9++aXNmTPHcnNzrV+/fvbII4/YsWPHkrbz73//26ZNm2b9+vWz3NxcmzNnTtKl4MzMtmzZYnfffbdlZGTY0KFDbcWKFd3xEtEB7fXB5s2b2xxz9OjRxHbog56rI58Fra3z1UBhRg/0dB3tg0gkYkVFRda/f38rKyuzbdu2JT1/6tQpmzFjhmVnZ1t2drbNmDHDzpw5kzRm7969Nn78ePP7/VZQUGBLlizhcqEpoCM9cODAAXv00UctLy/P+vfvbyNHjmxxGVl6oGf76U9/akOGDLGMjAz7xje+YRMnTkyECTNvfTf0mXE7RQAAAADOcA4FAAAAAMcIFAAAAAAcI1AAAAAAcIxAAQAAAMAxAgUAAAAAxwgUAAAAABwjUAAAAABwjEABAAAAwDECBQAAAADHCBQAAAAAHCNQAAAAAHCMQAEAAADAsf8DOfbJPSgee/kAAAAASUVORK5CYII=", "text/plain": [ "Graphics object consisting of 3 graphics primitives" ] }, "execution_count": 9, "metadata": { }, "output_type": "execute_result" } ], "source": [ "p = list_plot(solution[:end,(0,3)], plotjoined=True, color=\"black\")\n", "p += line(((tmin, mins[3]), (tmax, mins[3])), color=\"orange\", thickness=2)\n", "p += line(((tmin, maxs[3]), (tmax, maxs[3])), color=\"orange\", thickness=2)\n", "p.show(ymin=0, axes_labels=(\"$t$\", \"$W$ (wolves)\"), aspect_ratio=0.4*1000/maxs[3], figsize=8)\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example:** The whole trajectory is ***bounded***. " ] }, { "cell_type": "code", "execution_count": 10, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "text/html": "\n\n\n
\n \n \n \n
\n \n
\n\n" }, "execution_count": 10, "metadata": { }, "output_type": "execute_result" } ], "source": [ "vertices = np.array(list(product(*zip(mins[1:], maxs[1:]))) + [(NaN, NaN, NaN)])\n", "box = vertices[(0,1, 8, 0,2, 8, 1,3, 8, 2,3, 8, 4,5, 8, 4,6, 8, \n", " 5,7, 8, 6,7, 8, 0,4, 8, 1,5, 8, 2,6, 8, 3,7),:]\n", "\n", "fig = plotly.graph_objects.Figure()\n", "fig.layout.width = 800\n", "fig.layout.height = 700\n", "fig.layout.showlegend = False\n", "fig.layout.scene.aspectmode = 'cube'\n", "fig.layout.scene.xaxis.title.text = \"G (grass)\"\n", "fig.layout.scene.yaxis.title.text = \"S (sheep)\"\n", "fig.layout.scene.zaxis.title.text = \"W (wolves)\"\n", "fig.add_scatter3d(x=solution[:,1], y=solution[:,2], z=solution[:,3], \n", " mode=\"lines\", line_color=\"red\")\n", "fig.add_scatter3d(x=box[:,0], y=box[:,1], z=box[:,2], mode=\"lines\", line_color=\"orange\")\n", "fig.show()\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example:** The behavior of the discrete-time logistic model is ***bounded***. " ] }, { "cell_type": "code", "execution_count": 11, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "7a14564c14804ada8ac63a5c0c9f2818", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Interactive function with 1 widget\n", " connect: Checkbox(value=False, descri…" ] }, "execution_count": 11, "metadata": { }, "output_type": "execute_result" } ], "source": [ "@interact(connect=checkbox(False, label=\"Connect the dots\"))\n", "def update(connect):\n", " p = list_plot(list_of_points[:51], color=\"blue\", size=30)\n", " if connect:\n", " p += list_plot(list_of_points[:51], plotjoined=True, color=\"gray\")\n", " p += line(((0,0), (50,0)), color=\"orange\", thickness=2)\n", " p += line(((0,1.05), (50,1.05)), color=\"orange\", thickness=2)\n", " p.show(axes_labels=(\"$t$\", \"$X$\"), aspect_ratio=0.4*50/1, figsize=8)\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Properties of chaos:**\n", "\n", "3. The behavior is ***irregular*** (or ***aperiodic***). " ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "source": [ "
\n", "\n", "This means that a typical trajectory never repeats itself, *nor* does it asymptotically approach a periodic cycle. \n", "\n", "Note that, together with *deterministic*, this means that a trajectory will never reach the same exact state twice. Or, in other words, it does not form a closed loop in the state space. \n", "
" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example:** The populations in the three-species food chain are ***irregular (aperiodic)***. " ] }, { "cell_type": "code", "execution_count": 12, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "e127b302c9d24908b7edb814d298892d", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Interactive function with 1 widget\n", " start: TransformIntSlider(value=2000,…" ] }, "execution_count": 12, "metadata": { }, "output_type": "execute_result" } ], "source": [ "@interact(start=slider(2000, 4000, 500, default=2000, label=\"Start time:\"))\n", "def update(start):\n", " start = int((start - solution[0,0])/delta_t)\n", " end = start + int(1000/delta_t) + 1\n", " p = list_plot(solution[start:end,(0,1)], plotjoined=True, color=\"darkgreen\", legend_label=\"$G$ (grass)\")\n", " p += list_plot(solution[start:end,(0,2)], plotjoined=True, color=\"darkgray\", legend_label=\"$S$ (sheep)\")\n", " p += list_plot(solution[start:end,(0,3)], plotjoined=True, color=\"black\", legend_label=\"$W$ (wolves)\")\n", " p.show(ymin=0, axes_labels=(\"$t$\", \"Populations\"), aspect_ratio=0.4*1000/maxs[3], figsize=8)\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example:** The discrete-time logistic model is ***irregular***. " ] }, { "cell_type": "code", "execution_count": 13, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "18eebef55cb8482391824219a64d8d95", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Interactive function with 1 widget\n", " connect: Checkbox(value=False, descri…" ] }, "execution_count": 13, "metadata": { }, "output_type": "execute_result" } ], "source": [ "@interact(connect=checkbox(False, label=\"Connect the dots\"))\n", "def update(connect):\n", " p = list_plot(list_of_points[500:1000], color=\"blue\", size=30)\n", " if connect:\n", " p += list_plot(list_of_points[500:1000], plotjoined=True, color=\"gray\")\n", " p.show(axes_labels=(\"$t$\", \"$X$\"), aspect_ratio=0.4*500/1, figsize=8)\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Properties of chaos:**\n", "\n", "4. The behavior has ***sensitive dependence on initial conditions***. " ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "fragment" } }, "source": [ "
\n", "\n", "This means that making a *tiny* change in the initial state will result in *much bigger* changes in the long run. \n", "\n", "Colloquially, this is often referred to as the **butterfly effect**: the tiny air currents produced by a butterfly flapping its wings today in Sri Lanka can affect entire weather systems months from now in Kansas, halfway around the world from Sri Lanka. \n", "
" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example:** ***Sensitive dependence on initial conditions*** in the grass" ] }, { "cell_type": "code", "execution_count": 14, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solution 1's initial state: (2.25, 0.33, 9.72)\n", "Solution 2's initial state: (2.25, 0.33, 9.73)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "execution_count": 14, "metadata": { }, "output_type": "execute_result" } ], "source": [ "initial_state1 = solution[0,1:].round(2)\n", "initial_state2 = initial_state1 + (0, 0, 0.01)\n", "t_range = srange(0, 1000, 0.1)\n", "solution1 = desolve_odeint(vectorfield, initial_state1, t_range, state_vars)\n", "solution2 = desolve_odeint(vectorfield, initial_state2, t_range, state_vars)\n", "solution1 = np.insert(solution1, 0, t_range, axis=1)\n", "solution2 = np.insert(solution2, 0, t_range, axis=1)\n", "print(\"Solution 1's initial state: {}\".format(vector(initial_state1)))\n", "print(\"Solution 2's initial state: {}\".format(vector(initial_state2)))\n", "p = list_plot(solution1[:,(0,1)], plotjoined=True, color=\"darkgreen\", legend_label=\"Solution 1\", zorder=3)\n", "p += list_plot(solution2[:,(0,1)], plotjoined=True, color=\"fuchsia\", legend_label=\"Solution 2\")\n", "p.show(ymin=0, ymax=3.8, axes_labels=(\"$t$\", \"$G$ (grass)\"), aspect_ratio=0.4*1000/3.8, figsize=8)\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example:** ***Sensitive dependence on initial conditions*** in the sheep" ] }, { "cell_type": "code", "execution_count": 15, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solution 1's initial state: (2.25, 0.33, 9.72)\n", "Solution 2's initial state: (2.25, 0.33, 9.73)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "execution_count": 15, "metadata": { }, "output_type": "execute_result" } ], "source": [ "print(\"Solution 1's initial state: {}\".format(vector(initial_state1)))\n", "print(\"Solution 2's initial state: {}\".format(vector(initial_state2)))\n", "p = list_plot(solution1[:,(0,2)], plotjoined=True, color=\"darkgray\", legend_label=\"Solution 1\", zorder=3)\n", "p += list_plot(solution2[:,(0,2)], plotjoined=True, color=\"fuchsia\", legend_label=\"Solution 2\")\n", "p.show(ymin=0, ymax=1.1, axes_labels=(\"$t$\", \"$S$ (sheep)\"), aspect_ratio=0.4*1000/1.1, figsize=8)\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example:** ***Sensitive dependence on initial conditions*** in the wolves" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solution 1's initial state: (2.25, 0.33, 9.72)\n", "Solution 2's initial state: (2.25, 0.33, 9.73)\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 2 graphics primitives" ] }, "execution_count": 16, "metadata": { }, "output_type": "execute_result" } ], "source": [ "print(\"Solution 1's initial state: {}\".format(vector(initial_state1)))\n", "print(\"Solution 2's initial state: {}\".format(vector(initial_state2)))\n", "p = list_plot(solution1[:,(0,3)], plotjoined=True, color=\"black\", legend_label=\"Solution 1\", zorder=3)\n", "p += list_plot(solution2[:,(0,3)], plotjoined=True, color=\"fuchsia\", legend_label=\"Solution 2\")\n", "p.show(ymin=0, ymax=14, axes_labels=(\"$t$\", \"$W$ (wolves)\"), aspect_ratio=0.4*1000/14, figsize=8)\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example:** ***Sensitive dependence on initial conditions*** in the grass" ] }, { "cell_type": "code", "execution_count": 16, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solution 1's initial state: (2.252963, 0.326469, 9.715046)\n", "Solution 2's initial state: (2.252964, 0.326469, 9.715046)\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "31837dd7b13446b498f90d7ef2401ead", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Interactive function with 1 widget\n", " start: TransformIntSlider(value=0, de…" ] }, "execution_count": 16, "metadata": { }, "output_type": "execute_result" } ], "source": [ "initial_state1 = solution[0,1:].round(6)\n", "initial_state2 = initial_state1 + (0.000001, 0, 0)\n", "t_range = srange(0, 5000, 0.1)\n", "solution1 = desolve_odeint(vectorfield, initial_state1, t_range, state_vars)\n", "solution2 = desolve_odeint(vectorfield, initial_state2, t_range, state_vars)\n", "solution1 = np.insert(solution1, 0, t_range, axis=1)\n", "solution2 = np.insert(solution2, 0, t_range, axis=1)\n", "\n", "print(\"Solution 1's initial state: {}\".format(vector(initial_state1)))\n", "print(\"Solution 2's initial state: {}\".format(vector(initial_state2)))\n", "@interact(start=slider(0, 4000, 1000, default=0, label=\"Start time:\"))\n", "def update(start):\n", " start = int(start/delta_t)\n", " end = start + int(1000/delta_t) + 1\n", " p = list_plot(solution1[start:end,(0,1)], plotjoined=True, color=\"darkgreen\", \n", " legend_label=\"Solution 1\", zorder=3)\n", " p += list_plot(solution2[start:end,(0,1)], plotjoined=True, color=\"fuchsia\", \n", " legend_label=\"Solution 2\")\n", " p.show(ymin=0, ymax=3.8, axes_labels=(\"$t$\", \"$G$ (grass)\"), aspect_ratio=0.4*1000/3.8, figsize=8)\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example:** ***Sensitive dependence on initial conditions*** in the sheep" ] }, { "cell_type": "code", "execution_count": 17, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solution 1's initial state: (2.252963, 0.326469, 9.715046)\n", "Solution 2's initial state: (2.252964, 0.326469, 9.715046)\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "36ed8e8406cd43c590709a354b8e8908", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Interactive function with 1 widget\n", " start: TransformIntSlider(value=0, de…" ] }, "execution_count": 17, "metadata": { }, "output_type": "execute_result" } ], "source": [ "print(\"Solution 1's initial state: {}\".format(vector(initial_state1)))\n", "print(\"Solution 2's initial state: {}\".format(vector(initial_state2)))\n", "@interact(start=slider(0, 4000, 1000, default=0, label=\"Start time:\"))\n", "def update(start):\n", " start = int(start/delta_t)\n", " end = start + int(1000/delta_t) + 1\n", " p = list_plot(solution1[start:end,(0,2)], plotjoined=True, color=\"darkgray\", \n", " legend_label=\"Solution 1\", zorder=3)\n", " p += list_plot(solution2[start:end,(0,2)], plotjoined=True, color=\"fuchsia\", \n", " legend_label=\"Solution 2\")\n", " p.show(ymin=0, ymax=1.1, axes_labels=(\"$t$\", \"$S$ (sheep)\"), aspect_ratio=0.4*1000/1.1, figsize=8)\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example:** ***Sensitive dependence on initial conditions*** in the wolves" ] }, { "cell_type": "code", "execution_count": 18, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solution 1's initial state: (2.252963, 0.326469, 9.715046)\n", "Solution 2's initial state: (2.252964, 0.326469, 9.715046)\n" ] }, { "data": { "application/vnd.jupyter.widget-view+json": { "model_id": "b2b3a0b8f0bf41a1b30dbb72d1bd424e", "version_major": 2, "version_minor": 0 }, "text/plain": [ "Interactive function with 1 widget\n", " start: TransformIntSlider(value=0, de…" ] }, "execution_count": 18, "metadata": { }, "output_type": "execute_result" } ], "source": [ "print(\"Solution 1's initial state: {}\".format(vector(initial_state1)))\n", "print(\"Solution 2's initial state: {}\".format(vector(initial_state2)))\n", "@interact(start=slider(0, 4000, 1000, default=0, label=\"Start time:\"))\n", "def update(start):\n", " start = int(start/delta_t)\n", " end = start + int(1000/delta_t) + 1\n", " p = list_plot(solution1[start:end,(0,3)], plotjoined=True, color=\"black\", \n", " legend_label=\"Solution 1\", zorder=3)\n", " p += list_plot(solution2[start:end,(0,3)], plotjoined=True, color=\"fuchsia\", \n", " legend_label=\"Solution 2\")\n", " p.show(ymin=0, ymax=14, axes_labels=(\"$t$\", \"$W$ (wolves)\"), aspect_ratio=0.4*1000/14, figsize=8)\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Example:** ***Sensitive dependence on initial conditions*** in the discrete logistic" ] }, { "cell_type": "code", "execution_count": 20, "metadata": { "collapsed": false, "slideshow": { "slide_type": "-" } }, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Solution 1's starting state: 0.3521729\n", "Solution 2's starting state: 0.3521728\n" ] }, { "data": { "image/png": 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", "text/plain": [ "Graphics object consisting of 4 graphics primitives" ] }, "execution_count": 20, "metadata": { }, "output_type": "execute_result" } ], "source": [ "t_list = srange(1000)\n", "X_list1 = [0.3521729]\n", "X_list2 = [0.3521728]\n", "for t in t_list:\n", " X_list1.append(X_next(X_list1[-1]))\n", " X_list2.append(X_next(X_list2[-1]))\n", "list_of_points1 = list(zip(t_list, X_list1))\n", "list_of_points2 = list(zip(t_list, X_list2))\n", "\n", "print(\"Solution 1's starting state: {}\".format(float(X_list1[0])))\n", "print(\"Solution 2's starting state: {}\".format(float(X_list2[0])))\n", "p = list_plot(list_of_points1[:50], color=\"blue\", size=30, zorder=3)\n", "p += list_plot(list_of_points1[:50], plotjoined=True, color=\"gray\", zorder=3, legend_label=\"Solution 1\")\n", "p += list_plot(list_of_points2[:50], color=\"fuchsia\", size=30)\n", "p += list_plot(list_of_points2[:50], plotjoined=True, color=\"fuchsia\", legend_label=\"Solution 2\")\n", "p.show(ymin=0, ymax=1.3, axes_labels=(\"$t$\", \"$X$\"), aspect_ratio=0.4*50/1.3, figsize=8)\n" ] }, { "cell_type": "markdown", "metadata": { "collapsed": false, "slideshow": { "slide_type": "subslide" } }, "source": [ "**Conclusions: The defining properties of chaotic behavior**\n", "\n", "1. The *model* is ***deterministic***: the current state determines all future states; i.e. there is no randomness in the model. \n", "2. The behavior is ***bounded***: none of the state variables go to ∞. \n", "3. The behavior is ***irregular*** (or ***aperiodic***): it never repeats itself, nor does it asymptotically approach a periodic cycle. \n", "4. The behavior has ***sensitive dependence on initial conditions***: a *tiny* difference in two initial states will grow into a *much bigger* difference eventually. \n" ] } ], "metadata": { "celltoolbar": "Slideshow", "hide_input": false, "kernelspec": { "display_name": "SageMath 9.3", "language": "sagemath", "metadata": { "cocalc": { "description": "Open-source mathematical software system", "priority": 10, "url": "https://www.sagemath.org/" } }, "name": "sage-9.3", "resource_dir": "/ext/jupyter/kernels/sage-9.3" }, "language_info": { "codemirror_mode": { "name": "ipython", "version": 3 }, "file_extension": ".py", "mimetype": "text/x-python", "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", "version": "3.7.3" } }, "nbformat": 4, "nbformat_minor": 4 }