University of Toronto's Symplectic Geometry Seminar
March 8, 2004, 2:10 - 3 PM
SS5017A
Eugene Lerman
University of Illionois, Urbana-Champaign
Existence of relative periodic orbits near relative equilibria
Abstract:
This is joint work with Viktor Ginzburg.
We show existence of relative periodic orbits (a.k.a. relative
nonlinear normal modes) near relative equilibria of a symmetric
Hamiltonian system under an appropriate assumption on the Hessian of
the Hamiltonian. This gives a relative version of the Moser-Weinstein
theorem.