# University of Toronto's Symplectic Geometry Seminar

March 8, 2004, 2:10 - 3 PM

SS5017A

## Eugene Lerman

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University of Illionois, Urbana-Champaign

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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.