ROBUST NONHYPERBOLIC DYNAMICS AND HETERODIMENSIONAL CYCLES

被引：63

作者：

DIAZ, LJ ^{[1
]}

机构：

[1] PONTIFICIA UNIV CATOLICA RIO DE JANEIRO,DEPT MATEMAT,BR-22453 RIO JANEIRO,BRAZIL

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1995年 / 15卷

关键词：

D O I：

10.1017/S0143385700008385

中图分类号：

O29 [应用数学];

学科分类号：

070104 [应用数学];

摘要：

We describe an open set A of arcs of diffeomorphisms bifurcating through the creation of heterodimensional cycles for which every diffeomorphism after the bifurcation is nonhyperbolic or unstable. We also prove that generically in A the borning nonwandering set is transitive and local maximal for a full (Lebesgue) set of parameter values.

引用

页码：291 / 315

页数：25

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