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.
Acakpo, Stable Hamiltonian structure and basic cohomology, Annali di Matematica, 201 (2022) 2465–2470
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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.