Large measure of hyperbolic dynamics when unfolding heteroclinic cycles

被引：13

作者：

Diaz, LJ ^{[1
]}

Rocha, J ^{[1
]}

机构：

[1] FAC CIENCIAS,CTR MATEMAT,P-4000 OPORTO,PORTUGAL

来源：

NONLINEARITY | 1997年 / 10卷 / 04期

关键词：

D O I：

10.1088/0951-7715/10/4/004

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the unfolding of heterodimensional cycles (i.e. cycles containing periodic points with different indices). Given any epsilon > 0 we construct an open set of arcs that unfold generically a heterodimensional cycle so that the relative measure at the bifurcation value of the set of parameter corresponding to Omega-stable diffeomorphisms is bigger than 1 - epsilon. On the other hand, the bifurcation value is not a point of full density of hyperbolic dynamics.

引用

页码：857 / 884

页数：28

共 20 条

[1]

[Anonymous], 1970, S PURE MATH AM MATH

[2] Persistent nonhyperbolic transitive diffeomorphisms [J].