Arnold Diffusion in A Priori Chaotic Symplectic Maps

Vassili Gelfreich; Dmitry Turaev

doi:10.1007/s00220-017-2867-0

Arnold Diffusion in A Priori Chaotic Symplectic Maps

Vassili Gelfreich, Dmitry Turaev

Research output: Contribution to journal › Article › peer-review

24 Scopus citations

Abstract

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 language	English
Pages (from-to)	507-547
Number of pages	41
Journal	Communications in Mathematical Physics
Volume	353
Issue number	2
DOIs	https://doi.org/10.1007/s00220-017-2867-0
State	Published - 1 Jul 2017
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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title = "Arnold Diffusion in A Priori Chaotic Symplectic Maps",

abstract = "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.",

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Arnold Diffusion in A Priori Chaotic Symplectic Maps

Abstract

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