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arXiv · 1602.08634

Replication of Li-Yorke Chaos Near a Homoclinic Orbit

Marat Akhmet·Michal Fečkan·Mehmet Onur Fen·Ardak Kashkynbayev
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Abstract

We prove the presence of chaos near a homoclinic orbit in the modified Li-Yorke sense [10] by implementing chaotic perturbations. A Duffing oscillator is considered to show the effectiveness of our technique, and simulations that support the theoretical results are depicted. Ott-Grebogi-Yorke and Pyragas control methods are used to stabilize almost periodic motions.

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Marat Akhmet, Michal Fečkan, Mehmet Onur Fen, Ardak Kashkynbayev. 2016-02-27. Replication of Li-Yorke Chaos Near a Homoclinic Orbit. https://arxiv.org/abs/1602.08634

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