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arXiv · 1810.06359

Chaos near a reversible homoclinic bifocus

Pablo G. Barrientos·Artem Raibekas·Alexandre A. P. Rodrigues
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Abstract

We show that any neighborhood of a non-degenerate reversible bifocal homoclinic orbit contains chaotic suspended invariant sets on $N$-symbols for all $N\geq 2$. This will be achieved by showing switching associated with networks of secondary homoclinic orbits. We also prove the existence of super-homoclinic orbits (trajectories homoclinic to a network of homoclinic orbits), whose presence leads to a particularly rich structure.

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Pablo G. Barrientos, Artem Raibekas, Alexandre A. P. Rodrigues. 2019-07-01. Chaos near a reversible homoclinic bifocus. https://doi.org/10.1080/14689367.2019.1569592

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