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Journal Articles Journal of Topology and Analysis Year : 2010

A geometric definition of the Aubry-Mather set

Abstract

We study the Aubry set which appears in Mather theory of convex Hamiltonian systems from the point of view of symplectic geometry.

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Dynamical Systems [math.DS]
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Submitted on : Tuesday, March 13, 2012-10:10:12 PM

Last modification on : Saturday, April 27, 2024-3:12:41 AM

Long-term archiving on: Thursday, June 14, 2012-6:00:17 PM

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hal-00678691 , version 1 (13-03-2012)

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Patrick Bernard, Joana Santos. A geometric definition of the Aubry-Mather set. Journal of Topology and Analysis, 2010, 2 (3), pp.385-393. ⟨10.1142/S1793525310000343⟩. ⟨hal-00678691⟩

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