Heteroclinic orbits between static classes of time periodic Tonelli Lagrangian systems

Abstract

In this paper, we show the existence of heteroclinic orbits between two different static classes of the Aubry set of a Tonelli Lagrangian when the Aubry set has only finite static classes (which is a generic condition in the sense of Mañé) and the Mañé set satisfies certain isolated condition.

Keywords

• lagrangian systems
• heteroclinic orbits
• action minimizers
• aubry-mather theory