The dynamics around stable and unstable Hamiltonian relative equilibria
Differential Geometry
2007-05-23 v3 Dynamical Systems
Symplectic Geometry
Abstract
For a symmetric Hamiltonian system, lower bounds for the number of relative equilibria surrounding stable and formally unstable relative equilibria on nearby energy levels are given.
Cite
@article{arxiv.math/0007078,
title = {The dynamics around stable and unstable Hamiltonian relative equilibria},
author = {Juan-Pablo Ortega and Tudor S. Ratiu},
journal= {arXiv preprint arXiv:math/0007078},
year = {2007}
}
Comments
24 pages. The results on bifurcation of relative equilibria have undergone major improvements. The results on periodic and relative periodic orbits have been eliminated