Journal of Nonlinear Mathematical Physics

Volume 1, Issue 2, May 1994, Pages 189 - 201

Coisotropic quasi-periodic motions for a constrained system of rigid bodies

Authors
Ihor Parasyuk
Corresponding Author
Ihor Parasyuk
Received 20 December 1993, Available Online 1 May 1994.
DOI
10.2991/jnmp.1994.1.2.4How to use a DOI?
Abstract

We consider a constrained system of four rigid bodies located in axisymmetric potential and gyroscopic force fields and interacting by means of angular velocities. We describe an integrable case (not in Liouville sence!) when 12-dimensional phase space of the above system is fibered by the coisotropic invariant tori, the majority of which carry quasi-periodic motions with 7 independent frequences.

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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
1 - 2
Pages
189 - 201
Publication Date
1994/05/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1994.1.2.4How 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

TY  - JOUR
AU  - Ihor Parasyuk
PY  - 1994
DA  - 1994/05/01
TI  - Coisotropic quasi-periodic motions for a constrained system of rigid bodies
JO  - Journal of Nonlinear Mathematical Physics
SP  - 189
EP  - 201
VL  - 1
IS  - 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1994.1.2.4
DO  - 10.2991/jnmp.1994.1.2.4
ID  - Parasyuk1994
ER  -