Fathi, Albert Heteroclinic orbits and Peierls set. (Orbites hétéroclines et ensemble de Peierls.) (French) Zbl 0915.58033 C. R. Acad. Sci., Paris, Sér. I, Math. 326, No. 10, 1213-1216 (1998). 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. Cited in 22 Documents MSC: 37J99 Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems Keywords:Lagrangian dynamical system; heteroclinic connections; Peierls set; Aubry-Mather set PDFBibTeX XMLCite \textit{A. Fathi}, C. R. Acad. Sci., Paris, Sér. I, Math. 326, No. 10, 1213--1216 (1998; Zbl 0915.58033) Full Text: DOI