Arnold diffusion in a priori chaotic symplectic maps
File(s)art%3A10.1007%2Fs00220-017-2867-0.pdf (842.43 KB)
Published version
Author(s)
Gelfreich, V
Turaev, D
Type
Journal Article
Abstract
We assume that a symplectic real-analytic map has an invaria nt nor- mally hyperbolic cylinder and an associated transverse hom oclinic cylinder. We prove that generically in the real-analytic category the bo undaries of the invariant cylinder are connected by trajectories of the map.
Date Issued
2017-07-01
Online Publication Date
2017-04-24
Date Acceptance
2017-01-06
ISSN
0010-3616
Publisher
Springer
Start Page
507
End Page
547
Journal / Book Title
Communications in Mathematical Physics
Volume
353
Issue
2
Copyright Statement
© The Author(s) 2017. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
Source Database
manual-entry
Subjects
Science & Technology
Physical Sciences
Physics, Mathematical
Physics
HAMILTONIAN-SYSTEMS
UNBOUNDED ENERGY
PERIODIC PERTURBATIONS
DYNAMICAL-SYSTEMS
INVARIANT TORI
ORBITS
INSTABILITY
TRANSITION
RESONANCES
CHAINS
Mathematical Physics
0101 Pure Mathematics
0105 Mathematical Physics
0206 Quantum Physics
Publication Status
Published
Date Publish Online
2017-04-24