The isolated saddle-node bifurcation occurring inside a horseshoe
动力系统
2007-05-23 v1
摘要
In this paper, we consider a smooth arc of diffeomorphisms which has a saddle-node bifurcation inside a nontrivial invariant set which is a deformation of a horseshoe. We show that this saddle-node bifurcation is isolated, that is, its hyperbolicity is maintained before and after the saddle-node bifurcation. Moreover we construct a -open set of arcs having the same property.
引用
@article{arxiv.math/9810118,
title = {The isolated saddle-node bifurcation occurring inside a horseshoe},
author = {Yongluo Cao and Shin Kiriki},
journal= {arXiv preprint arXiv:math/9810118},
year = {2007}
}
备注
18 pages, 4 figures, to apper Dynamics and Stability of Systems