Stability analysis of some integrable Euler equations for SO(n)
Mathematical Physics
2015-06-26 v2 Dynamical Systems
math.MP
Exactly Solvable and Integrable Systems
Abstract
A family of special cases of the integrable Euler equations on 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 and incomplete for .
Cite
@article{arxiv.math-ph/0203053,
title = {Stability analysis of some integrable Euler equations for SO(n)},
author = {L. Feher and I. Marshall},
journal= {arXiv preprint arXiv:math-ph/0203053},
year = {2015}
}
Comments
15 pages, LaTeX, minor stylistic changes in v2