Chaotic Dynamical System contains at least one Point whose Orbit is Dense

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Theorem

Let $S$ be a dynamical system whose behaviour is chaotic.

Then the orbit of at least one point under $S$ is dense.


This article is complete as far as it goes, but it could do with expansion.
In particular: Haven't a clue what any of this means yet.
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Proof


This theorem requires a proof.
You can help $\mathsf{Pr} \infty \mathsf{fWiki}$ by crafting such a proof.
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Sources

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