Abstract
We show that a reversible non-Hamiltonian vector field at nonsemisimple 1:1 resonance can be split into a Hamiltonian and a non-Hamiltonian part in such a way that after reduction to the orbit space for the S 1-action coming from the semisimple part of the linearized vector field the non-Hamiltonian part vanishes. As a consequence the reduced reversible vector field is Hamiltonian. We furthermore show that for vector fields in normal form on the orbit space being Hamiltonian is equivalent to being reversible.
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