{{{id=1| ##################### ###### Code Starts ## ##################### #Time Series Diagram #Sinan Kapcak #2017 #Time Series 2D x,y,a=var('x y a') @interact def _( param1=input_box(label='Slider interval for paramater $a$',default=(0,5),width=20) ): @interact def _( f=input_box(label='$f(x,y)$',default=a*y/(y+x^2+1) ), g=input_box(label='$g(x,y)$',default=x/(x+y^2+1) ), x0y0=input_box(label='$(x_0,y_0)$',default=(1,2)), parameter0=slider(param1[0] , param1[1], .01, default= (5*param1[0]+param1[1])/6 ,label='Parameter $a$' ), iterasyon=input_box(default=50,label='Number of iterations'), figs=slider(2, 20, 1, default=6,label='Figure size'), ar=slider([2^n for n in [-10..10]], default=16,label='Aspect Ratio' ) ): nok=[ x0y0 ]#list of points for i in range(iterasyon): nok.append((f(x=nok[-1][0],y=nok[-1][1],a=parameter0),g(x=nok[-1][0],y=nok[-1][1],a=parameter0))) listx=[nok[i][0] for i in range(iterasyon) ] listy=[nok[i][1] for i in range(iterasyon) ] grafx=list_plot(listx,plotjoined=True,rgbcolor='grey',alpha=.7) grafy=list_plot(listy,plotjoined=True,rgbcolor='red',alpha=.7) show(grafx+grafy,aspect_ratio=ar,figsize=figs,axes_labels=['$n$','$x_n,y_n$']) ##################### ###### Code Ends #### ##################### ///

Slider interval for paramater $a$

}}} {{{id=2| /// }}}