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arXiv · 1302.0946

Morse-Smale systems and horseshoes for three dimensional singular flows

Shaobo Gan·Dawei Yang
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Abstract

We prove that for every three-dimensional vector field, either it can be accumulated by Morse-Smale ones, or it can be accumulated by ones with a transverse homoclinic intersection of some hyperbolic periodic orbit in the $C^1$ topology.

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Shaobo Gan, Dawei Yang. 2013-02-05. Morse-Smale systems and horseshoes for three dimensional singular flows. https://arxiv.org/abs/1302.0946

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