Separatrix Maps in Slow--Fast Hamiltonian Systems

Sergey V. Bolotin

Informatics and Automation, Modern Methods of Mechanics, Tome 322 (2023), pp. 38-57.

Résumé

We obtain explicit formulas for the separatrix map of a multidimensional slow–fast Hamiltonian system. This map is used to partly extend Neishtadt's results on the jumps of adiabatic invariants at the separatrix to the multidimensional case.

Détail

Keywords: slow–fast system, Poincaré function, separatrix map
Mots-clés : homoclinic orbit, adiabatic invariant.

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