Is there a shortcut command to iterate an endomorphism?
Suppose $f$ is a function from some set to itself. Is there a shortcut command in sage to compute an iterated composition of $f$, such as $f^3(x)=f(f(f(x)))$ where I could type something like f^3(x)
into the console, and more generally for computing $f^n(x)$ for a given $n$?
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Ideally, provide an explicit
f
,x
,n
to get others started on your question.Two previous related questions:
Ask Sage question 35989: Apply functions iteratively
Ask Sage question 36159: Apply functions iteratively (modified re-post)
One keyword: dynamical systems.