On Shilnikov attractors of three-dimensional flows and maps

Yuliya Bakhanova,Sergey Gonchenko,Alexander Gonchenko,Alexey Kazakov,Eugeniya Samylina

arxiv（2022）

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摘要

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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关键词

Chaotic dynamics,spiral chaos,strange attractor,homoclinic orbit,saddle-focus

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