Consider a dynamic system with a periodic trajectory. Given an arbitrary duration T of time,(adsbygoogle = window.adsbygoogle || []).push({});

does there exist a chaotic trajectory of a similar system which approximates the closed orbit

for the duration T with a given accuracy?

Chaotic orbits which I've seen so far appear to be almost periodic at times but eventually stray off. I wonder if this is a general phenomenon.

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# Chaotic Orbits

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