Differentiability of Lyapunov Exponents

被引：2

作者：

Ferraiol, Thiago F. ^{[1
]}

San Martin, Luiz A. B. ^{[1
]}

机构：

[1] Univ Estadual Campinas, Imecc, Dept Matemat, Rua Sergio Buarque de Holanda 651, BR-13083859 Campinas, SP, Brazil

来源：

JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS | 2020年 / 26卷 / 02期

关键词：

Semi-simple Lie groups; Lyapunov exponents; Multiplicative ergodic theorem; Flag manifolds; Differentiability; SETS; FLOWS;

D O I：

10.1007/s10883-019-09448-3

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

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.

引用

页码：289 / 310

页数：22

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