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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?

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This is the usual meaning: en.wikipedia.org/wiki/Group_action#Orbits_and_stabilizers –  Andrew Dec 3 '12 at 21:26

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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 $$\{{\,x,f(x),f(f(x)),f(f(f(x))),\dots\,\}}$$

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