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

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

2011-03-25

arxiv.org/abs/1103.4900v1

Nonlinear Sciences

Chaotic Dynamics

15 pages, 8 figures

Scientific paper

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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