Existence of relative periodic orbits near relative equilibria

Details Existence of relative periodic orbits near relative equilibria Existence of relative periodic orbits near relative equilibria

2004-02-16

arxiv.org/abs/math/0402264v1

Math. Res. Lett. 11 (2004), no. 2-3, 397--412

Mathematics

Symplectic Geometry

13 pages

Scientific paper

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. The paper supersedes an earlier paper (this arxiv math.SG/9906007), which contains a mistake.

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