Hamiltonian Structure of the Reversible Nonsemisimple 1:1 Resonance
نویسندگان
چکیده
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 S1-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.
منابع مشابه
Hamiltonian structure of the reversible nonsemisimple 1:1 resonance
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 Sl-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 furthermor...
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