TimeSeries1D.sagews

%auto
typeset_mode(True, display=False)

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###### Code Starts ##
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#Time Series Diagram
#Sinan Kapcak
#2017
x,y,a=var('x y a')
@interact
def _(
    param1=input_box(label='Slider interval for paramater $a$',default=(0,10),width=20),
    intx=input_box(label='Slider interval for $x_0$',default=(0,10 ),width=20 )):
    @interact
    def _(
    f=input_box(label='$f(x)$',default=x*e^(a-x),width=40),
    x0=slider(intx[0] ,  intx[1], .1, default= (2*intx[0]+intx[1])/3 ,label='Initial Value $x_0$' ),
    parameter0=slider(param1[0] ,  param1[1], .01, default= (5*param1[0]+param1[1])/6 ,label='Parameter $a$' ),
    iterasyon=input_box(default=100,label='Number of iterations',width=15 ),
    figs=slider(2, 20, 1, default=6,label='Figure size'),
    ar=slider([2^n for n in [-10..10]], default=16,label='Aspect Ratio' )
    ):
        f=f(a=parameter0)
        nok=[x0]#list of points
        for i in range(iterasyon):
            nok.append( f(x=nok[-1] ) )
        graf=list_plot(nok,plotjoined=True,rgbcolor='orange',aspect_ratio=ar,figsize=figs,axes_labels=['$n$','$x_n$'],frame=False)
        show(graf)
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###### Code Ends ####
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Interact: please open in CoCalc