Arnold Diffusion in A Priori Chaotic Symplectic Maps

Vassili Gelfreich, Dmitry Turaev

Research output: Contribution to journalArticlepeer-review

15 Scopus citations


We assume that a symplectic real-analytic map has an invariant normally hyperbolic cylinder and an associated transverse homoclinic cylinder. We prove that generically in the real-analytic category the boundaries of the invariant cylinder are connected by trajectories of the map.

Original languageEnglish
Pages (from-to)507-547
Number of pages41
JournalCommunications in Mathematical Physics
Issue number2
StatePublished - 1 Jul 2017
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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