Heteroclinic orbits between static classes of time periodic Tonelli Lagrangian systems

Abstract

<abstract><p>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.</p></abstract>