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arXiv · 1507.07781

$C^1$ weak Palis conjecture for nonsingular flows

Qianying Xiao·Zuohuan Zheng
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Abstract

The aim of this work is to prove $C^1$ weak Palis conjecture for nonsingular flows. Weak Palis conjecture claims that a generic vector field either is Morse-Smale or exhibits horseshoes. Central model is come up with by Crovisier to obtain homoclinic intersection for diffeomorphisms. We adapt his method for nonsingular flows.

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Qianying Xiao, Zuohuan Zheng. 2015-07-29. $C^1$ weak Palis conjecture for nonsingular flows. https://arxiv.org/abs/1507.07781

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