A Marsden-Weinstein reduction for corank-1 presymplectic structures with a chosen Reeb field is developed and applied to reduce the evolution dynamics of time-dependent Hamiltonian systems.
Albert, Le th´ eor` eme de r´ eduction de Marsden-Weinstein en g´ eom´ etrie cosymplectique et de contact,Journal of Geometry and Physics , 6 (1989), no
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Mechanical presymplectic structures and Marsden-Weinstein reduction of time-dependent Hamiltonian systems
A Marsden-Weinstein reduction for corank-1 presymplectic structures with a chosen Reeb field is developed and applied to reduce the evolution dynamics of time-dependent Hamiltonian systems.