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

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

2009-02-19

arxiv.org/abs/0902.3266v1

Mathematics

Dynamical Systems

Scientific paper

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.

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