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/).
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 -