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arXiv · 1103.4900

Saddle-point-Saddle-focus singular cycles and existence of horseshoes

xiao-song Yang
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Abstract

In this paper we study a type of two singular point singular cycle where one heteroclinic orbit is the transversal intersection of the 2-dimensional stable manifold of one singular point and the 2-dimensional unstable manifold of other singular point. We show that this kind of singular cycle can give rise to a new mechanism of creation of chaos in 3-dimensional vector fields.

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xiao-song Yang. 2011-03-25. Saddle-point-Saddle-focus singular cycles and existence of horseshoes. https://arxiv.org/abs/1103.4900

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