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arXiv · 2202.01814

On Shilnikov attractors of three-dimensional flows and maps

Yuliya Bakhanova·Sergey Gonchenko·Alexander Gonchenko·Alexey Kazakov·Eugeniya Samylina
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Abstract

We describe scenarios for the emergence of Shilnikov attractors, i.e. strange attractors containing a saddle-focus with two-dimensional unstable manifold, in the case of three-dimensional flows and maps. The presented results are illustrated with various specific examples.

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Yuliya Bakhanova, Sergey Gonchenko, Alexander Gonchenko, Alexey Kazakov, Eugeniya Samylina. 2022-02-03. On Shilnikov attractors of three-dimensional flows and maps. https://arxiv.org/abs/2202.01814

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