arXiv Analytics

Sign in

arXiv:0902.3266 [math.DS]AbstractReferencesReviewsResources

The link between the shape of the Aubry-Mather sets and their Lyapunov exponents

Marie-Claude Arnaud

Published 2009-02-19Version 1

We consider the irrational Aubry-Mather sets of an exact symplectic monotone twist map and explain what is the link between the Lyapunov exponents and the shape of such a set. The main tools that we use in the proofs are the so-called Green bundles.

Categories: math.DS
Subjects: 37C05, 37C40, 37D25, 37E40
Related articles: Most relevant | Search more
arXiv:1608.02843 [math.DS] (Published 2016-08-09)
What are Lyapunov exponents, and why are they interesting?
arXiv:math/0611324 [math.DS] (Published 2006-11-11)
Geometric Expansions, Lyapunov Exponents and Foliations
arXiv:1211.0648 [math.DS] (Published 2012-11-03)
Regularity and convergence rates for the Lyapunov exponents of linear co-cycles

Links

Toolbox