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.
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页码：1 / 48
页数：48
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