On the Conley decomposition of Mather sets

Details On the Conley decomposition of Mather sets On the Conley decomposition of Mather sets

2008-07-10

arxiv.org/abs/0807.1593v2

Revista Matematica Iberoamericana 26, 1 (2010) 115-132

Mathematics

Dynamical Systems

Scientific paper

In the context of Mather's theory of Lagrangian systems, we study the
decomposition in chain-transitive classes of the Mather invariant sets. As an
application, we prove, under appropriate hypotheses, the semi-continuity of the
so-called Aubry set as a function of the Lagrangian.

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