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I was reading "Prove that Anosov Automorphisms are chaotic," and the answer and a few of the comments talked about orbits. I'm curious what is meant by "orbits" in the given context. Is it analogous to transformations?

This is the link.

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    This is the usual meaning: https://en.wikipedia.org/wiki/Group_action#Orbits_and_stabilizers2012-12-03

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Given a set $S$, a function $f:S\to S$, and an element $x$ in $S$, the orbit of $x$ is the set $\{{\,x,f(x),f(f(x)),f(f(f(x))),\dots\,\}}$