The link between the shape of the Aubry-Mather sets and their Lyapunov exponents
classification
🧮 math.DS
keywords
aubry-matherexponentslinklyapunovsetsshapebundlesconsider
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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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