论文标题

在三维流和地图的Shilnikov吸引者上

On Shilnikov attractors of three-dimensional flows and maps

论文作者

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

论文摘要

我们描述了Shilnikov吸引子的出现的场景,即在三维流量和地图的情况下,奇怪的吸引者包含带有二维不稳定歧管的马鞍焦点。提出的结果用各种特定示例进行了说明。

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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