Positive top Lyapunov exponent via invariant cones: Single trajectories

被引：2

作者：

Barreira, Luis ^{[1
]}

Dragicevic, Davor ^{[1
]}

Valls, Claudia ^{[1
]}

机构：

[1] Univ Lisbon, Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2015年 / 423卷 / 01期

关键词：

Invariant cones; Lyapunov exponents; Single trajectories;

D O I：

10.1016/j.jmaa.2014.10.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish criteria for the positivity of the top Lyapunov exponent of a nonautonomous dynamics in terms of invariant cone families, both for maps and flows. The families of cones are associated with quadratic forms of type (k, p - k) with k arbitrary. Our work can be seen as a counterpart of results in the context of ergodic theory, where the positivity of the top Lyapunov exponent is obtained for almost all trajectories although saying nothing about each specific trajectory. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：480 / 496

页数：17