Differentiability of Lyaupnov Exponents
Dynamical Systems
2014-05-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1405.1262,
title = {Differentiability of Lyaupnov Exponents},
author = {Thiago F. Ferraiol and Luiz A. B. San Martin},
journal= {arXiv preprint arXiv:1405.1262},
year = {2014}
}
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32 pages