Perturbation of the Lyapunov spectra of periodic orbits

被引：21

作者：

Bochi, J. ^{[1
]}

Bonatti, C. ^{[2
]}

机构：

[1] PUC, Dept Matemat, BR-22453900 Rio De Janeiro, RJ, Brazil

[2] Univ Bourgogne, IMB, F-21078 Dijon, France

来源：

PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY | 2012年 / 105卷

关键词：

HYPERBOLICITY;

D O I：

10.1112/plms/pdr048

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We describe all Lyapunov spectra that can be obtained by perturbing the derivatives along periodic orbits of a diffeomorphism. The description is expressed in terms of the finest dominated splitting and Lyapunov exponents that appear in the limit of a sequence of periodic orbits, and involves the majorization partial order. Among the applications, we give a simple criterion for the occurrence of universal dynamics.

引用

页码：1 / 48

页数：48

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