Differentiability of Lyapunov Exponents

被引：0
作者：
Thiago F. Ferraiol
Luiz A. B. San Martin
机构：
[1] Imecc - Unicamp,Departamento de Matemática
来源：
Journal of Dynamical and Control Systems | 2020年 / 26卷
关键词：
Semi-simple Lie groups; Lyapunov exponents; Multiplicative ergodic theorem; Flag manifolds; Differentiability; 37H15; 22E46; 37B55;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove differentiability of certain linear combinations of the Lyapunov spectra of a flow on a principal bundle of a semi-simple Lie group. The specific linear combinations that yield differentiability are determined by the finest Morse decomposition on the flag bundles. Differentiability is taken with respect to a differentiable structure on the gauge group, which is a Banach-Lie group.
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页码：289 / 310
页数：21
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