A geometric definition of the Aubry-Mather set

Santos, Joana; Bernard, Patrick

Santos, Joana; Bernard, Patrick (2010), A geometric definition of the Aubry-Mather set, Journal of Topology and Analysis, 2, 3, p. 385-393. http://dx.doi.org/10.1142/S1793525310000343

Type

Article accepté pour publication ou publié

External document link

http://hal.archives-ouvertes.fr/hal-00678691

Date

2010

Journal name

Journal of Topology and Analysis

Volume

Number

Publisher

world scientific pub.

Pages

385-393

Abstract (EN)

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

Subjects / Keywords

symplectic geometry; weak KAM theory; Aubry set; Lagrangian systems