Frequency locking for Tonelli Lagrangians

Daniel Massart (1)

1 I3M - Institut de Mathématiques et de Modélisation de Montpellier

We prove that for a generic Tonelli Lagrangian on a configuration space of dimension two, there exists an open dense subset of cohomology classes, whose Aubry set consists of exactly one hyperbolic periodic orbit.

Domaines: Systèmes dynamiques [math.DS]

Daniel Massart. Frequency locking for Tonelli Lagrangians. 2011. ⟨hal-00589239⟩