Journal of Nonlinear Mathematical Physics

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Volume 1, Issue 4, November 1994, Pages 340 - 357

Coisotropic quasi-periodic motions near the relative equilibrium of a Hamiltonian system

Authors
Ihor Parasyuk
Corresponding Author
Ihor Parasyuk
Received 26 August 1994, Available Online 1 November 1994.
DOI
10.2991/jnmp.1994.1.4.2How to use a DOI?
Abstract

We consider the Hamiltonian system which is invariant under locally Hamiltonian (non-Poissonian) action of torus. We show that when a certain set of conditions is satisfied the majority of motions in a sufficiently small neighbourhood of system's relative equilibrium are quasi-periodic and cover coisotropic 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
1 - 4
Pages
340 - 357
Publication Date
1994/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1994.1.4.2How 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  - Ihor Parasyuk
PY  - 1994
DA  - 1994/11/01
TI  - Coisotropic quasi-periodic motions near the relative equilibrium of a Hamiltonian system
JO  - Journal of Nonlinear Mathematical Physics
SP  - 340
EP  - 357
VL  - 1
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1994.1.4.2
DO  - 10.2991/jnmp.1994.1.4.2
ID  - Parasyuk1994
ER  -