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Heteroclinic orbits and Peierls set. (Orbites hétéroclines et ensemble de Peierls.) (French) Zbl 0915.58033

Summary: We show that, for a Lagrangian dynamical system, the appropriate set to find heteroclinic connections is the Peierls set and not the Aubry-Mather set. This enables us to find generalizations of theorems due to Bolotin or Rabinowitz.

MSC:

37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems
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