Frequency locking for Tonelli Lagrangians

Details Frequency locking for Tonelli Lagrangians Frequency locking for Tonelli Lagrangians

2011-04-21

arxiv.org/abs/1104.4226v1

Mathematics

Dynamical Systems

Scientific paper

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.

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