University of Toronto's Symplectic Geometry Seminar

March 8, 2004, 2:10 - 3 PM

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.