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Lecture slides for UCLA LS 30B, Spring 2020

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Continuous_time.gif1.1 MB4/13/2020, 12:17:09 AM
Discrete_time.gif32.3 KB4/13/2020, 12:17:07 AM
Discrete_time_2.gif42.8 KB4/13/2020, 12:17:07 AM
LS 30B intro lecture - brief review of LS 30A.ipynb756.2 KB8/2/2021, 7:04:06 AM
Mini-Lecture 1 - Periodic functions.ipynb9.2 KB8/2/2021, 7:04:51 AM
Mini-Lecture 12 - Behavior of the CO2 ventilation (Mackey–Glass) model.ipynb55 KB8/7/2021, 2:22:51 AM
Mini-Lecture 14 - Negative feedback and time delay.ipynb46.5 KB8/6/2021, 6:03:22 PM
Mini-Lecture 15 - The Hopf bifurcation diagram.ipynb194.3 KB1/11/2022, 4:55:56 PM
Mini-Lecture 2 - Attractors, and limit cycle attractors.ipynb39.5 KB4/4/2024, 11:33:26 PM
Mini-Lecture 5 - The HPG model.ipynb1.2 MB8/6/2021, 5:50:21 PM
Mini-Lecture 5-04 - The defining properties of chaos.ipynb5.2 MB8/11/2021, 5:57:01 AM
Mini-Lecture 5-05 - More about sensitive dependence on initial conditions.ipynb104.1 KB4/14/2020, 8:18:48 PM
Mini-Lecture 5-06 - The attractor in a chaotic model.ipynb2.3 MB8/11/2021, 5:56:17 AM
Mini-Lecture 5-07 - Patterns in chaos.ipynb9.5 MB8/9/2021, 6:44:19 PM
Mini-Lecture 5-09 - The chaotic attractor of a 1-variable discrete-time model.ipynb4.7 MB4/20/2020, 7:24:07 PM
Mini-Lecture 5-1 - From 2D dynamics to 3D dynamics.ipynb2.5 MB8/11/2021, 5:57:01 AM
Mini-Lecture 5-10 - Bifurcations in the discrete-time logistic model.ipynb16.9 KB8/9/2021, 9:43:40 AM
Mini-Lecture 5-2 - Discrete-time models of dynamical systems.ipynb234.7 KB8/9/2021, 9:42:55 AM
Mini-Lecture 5-3 - Exponential growth in continuous time and discrete time.ipynb16.2 KB8/10/2021, 4:55:11 AM
Mini-Lecture 6 - Behavior of the HPG model.ipynb9 KB1/11/2022, 4:55:56 PM
Mini-Lecture 6-17 - Eigenvalues and eigenvectors.ipynb15 KB10/19/2022, 2:56:21 AM
Mini-Lecture 6-23 - Exponential growth or decay in multiple dimensions.ipynb19.9 KB8/26/2021, 2:08:07 AM
Mini-Lecture 6-29 - Using the new coordinates to visualize the behavior of a linear model.ipynb20.1 KB2/24/2022, 6:08:23 AM
Mini-Lecture 6-30 - Complex eigenvalues.ipynb44.8 KB9/1/2021, 3:36:46 AM
Mini-Lecture 6-31 - Linear differential equations (continuous time) - The diagonal case.ipynb16.3 KB5/22/2020, 6:57:45 AM
Mini-Lecture 6-32 - A model of the loggerhead sea turtle population.ipynb75.1 KB8/26/2021, 2:08:07 AM
Mini-Lecture 6-32 - Linear differential equations (continuous time) - The general case.ipynb30 KB2/22/2022, 7:04:23 AM
Mini-Lecture 6-35 - Linear dynamics in 3D.ipynb4.5 MB5/15/2021, 2:12:03 AM
Mini-Lecture 7 - How a limit cycle attractor forms.ipynb13.9 KB4/5/2020, 3:35:48 AM
Mini-Lecture 7-03 - The graph of a function f(X,Y).ipynb837.5 KB5/28/2020, 4:55:16 AM
Mini-Lecture 7-04 - Linear approximation of a function f(X,Y).ipynb3.9 MB5/28/2020, 5:00:44 AM
Mini-Lecture 7-07 - Examples of classifying equilibrium points (linear approximation of a vector field).ipynb305.9 KB6/5/2020, 3:55:55 AM
Mini-Lecture 7-08 - The tangent plane of a function.ipynb1.3 MB6/5/2020, 3:58:09 AM
Mini-Lecture 7-09 - How a Hopf bifurcation occurs, part 2.ipynb30.9 KB9/4/2021, 6:23:24 AM
Mini-Lecture 7-10 - Hopf bifurcation in the HPG model.ipynb19.2 KB1/11/2022, 7:53:27 AM
Mini-Lecture 7-11 - The Hartman–Grobman Theorem, and where linear stability analysis fails.ipynb531.8 KB6/5/2020, 4:05:15 AM
Mini-Lecture 8 - How a Hopf bifurcation occurs.ipynb16.8 KB1/11/2022, 8:03:08 AM
Mini-Lecture 9 - Saturating functions, sigmoid functions, etc.ipynb67.6 KB8/2/2021, 6:46:52 PM
Mini-lecture 7-12 - Intro to optimization.ipynb71.5 KB4/4/2024, 11:33:26 PM
Mini-lecture 7-16 - Critical points of functions of multiple variables.ipynb25.2 KB5/29/2021, 9:37:26 AM
Mini-lecture 7-17 - The gradient vector field of a function of multiple variables.ipynb52.1 KB5/29/2021, 8:12:28 PM
Sharks and Tuna 1.gif1.6 MB4/4/2020, 12:30:51 AM
Sharks and Tuna 2.gif1.4 MB4/4/2020, 12:30:50 AM
images/6 items5/5/2021, 5:52:41 AM