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arXiv · 1410.4770

Complicated dynamics in planar polynomial equations

Paweł Wilczyński
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Abstract

We deal with a mechanism of generating distributional chaos in planar nonautonomous ODEs and try to measure chaosity in terms of topological entropy. It is based on the interplay between simple periodic solutions. We prove the existence of infinitely many heteroclinic solutions betwen the periodic ones.

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Paweł Wilczyński. 2014-10-17. Complicated dynamics in planar polynomial equations. https://arxiv.org/abs/1410.4770

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