Question: Consider the map given by [x_{n+1}=alpha sin left(pi x_{n} ight)] where (0

Consider the map given by

\[x_{n+1}=\alpha \sin \left(\pi x_{n}\right)\]

where $0<\alpha<1$. Analyze the system as was done for the logistic map in the text, identifying the onset of chaos and bifurcations if any. Compute the parameter $\delta$ introduced in the text.

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