Journal of Nonlinear Mathematical Physics

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Volume 10, Issue 3, August 2003, Pages 304 - 317

Stability Analysis of Some Integrable Euler Equations for SO(n)

Authors
L. Fehér, I. Marshall
Corresponding Author
L. Fehér
Received 11 October 2002, Accepted 7 January 2003, Available Online 1 August 2003.
DOI
10.2991/jnmp.2003.10.3.4How to use a DOI?
Abstract

A family of special cases of the integrable Euler equations on so(n) introduced by Manakov in 1976 is considered. The equilibrium points are found and their stability is studied. Heteroclinic orbits are constructed that connect unstable equilibria and are given by the orbits of certain 1-parameter subgroups of SO(n). The results are complete in the case n = 4 and incomplete for n > 4.

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 - 3
Pages
304 - 317
Publication Date
2003/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.3.4How 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  - L. Fehér
AU  - I. Marshall
PY  - 2003
DA  - 2003/08/01
TI  - Stability Analysis of Some Integrable Euler Equations for SO(n)
JO  - Journal of Nonlinear Mathematical Physics
SP  - 304
EP  - 317
VL  - 10
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.3.4
DO  - 10.2991/jnmp.2003.10.3.4
ID  - Fehér2003
ER  -