Saddle-point-Saddle-focus singular cycles and existence of horseshoes
Chaotic Dynamics
2011-03-28 v1 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.1103.4900,
title = {Saddle-point-Saddle-focus singular cycles and existence of horseshoes},
author = {xiao-song Yang},
journal= {arXiv preprint arXiv:1103.4900},
year = {2011}
}
Comments
15 pages, 8 figures