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Arnold diffusion in a priory chaotic symplectic maps
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Gelfreich, Vassili and Turaev, Dmitry (2017) Arnold diffusion in a priory chaotic symplectic maps. Communications in Mathematical Physics, 353 (2). pp. 507-547. doi:10.1007/s00220-017-2867-0 ISSN 0010-3616.
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Official URL: https://doi.org/10.1007/s00220-017-2867-0
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.
Item Type: | Journal Article | ||||||||||||
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Subjects: | Q Science > QA Mathematics | ||||||||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||||||||
Library of Congress Subject Headings (LCSH): | Hamiltonian systems, Mappings (Mathematics) | ||||||||||||
Journal or Publication Title: | Communications in Mathematical Physics | ||||||||||||
Publisher: | Springer | ||||||||||||
ISSN: | 0010-3616 | ||||||||||||
Official Date: | July 2017 | ||||||||||||
Dates: |
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Volume: | 353 | ||||||||||||
Number: | 2 | ||||||||||||
Number of Pages: | 45 | ||||||||||||
Page Range: | pp. 507-547 | ||||||||||||
DOI: | 10.1007/s00220-017-2867-0 | ||||||||||||
Status: | Peer Reviewed | ||||||||||||
Publication Status: | Published | ||||||||||||
Access rights to Published version: | Open Access (Creative Commons) | ||||||||||||
Date of first compliant deposit: | 28 February 2017 | ||||||||||||
Date of first compliant Open Access: | 8 May 2018 | ||||||||||||
RIOXX Funder/Project Grant: |
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