Journal of Nonlinear Mathematical Physics

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Volume 10, Issue 1, February 2003, Pages 51 - 64

The Poincaré–­Nekhoroshev Map

Authors
Giuseppe Gaeta
Corresponding Author
Giuseppe Gaeta
Received 4 March 2002, Accepted 28 June 2002, Available Online 1 February 2003.
DOI
10.2991/jnmp.2003.10.1.4How to use a DOI?
Abstract

We study a generalization of the familiar Poincaré map, first implicitely introduced by N N Nekhoroshev in his study of persistence of invariant tori in hamiltonian systems, and discuss some of its properties and applications. In particular, we apply it to study persistence and bifurcation of invariant tori.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - 1
Pages
51 - 64
Publication Date
2003/02/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.1.4How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Giuseppe Gaeta
PY  - 2003
DA  - 2003/02/01
TI  - The Poincaré–­Nekhoroshev Map
JO  - Journal of Nonlinear Mathematical Physics
SP  - 51
EP  - 64
VL  - 10
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.1.4
DO  - 10.2991/jnmp.2003.10.1.4
ID  - Gaeta2003
ER  -