Reduction of hybrid Hamiltonian systems with non-equivariant momentum maps

Authors:
  • LCLeonardo Colombo
    Leonardo Colombo
  • MIMaría Emma Eyrea Irazú
    María Emma Eyrea Irazú
  • MGMaría Eugenia García
    María Eugenia García
  • ALAsier López-Gordón
    Asier López-Gordón
  • MZMarcela Zuccalli
    Marcela Zuccalli
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Abstract
We develop a reduction scheme à la Marsden-Weinstein-Meyer for hybrid Hamiltonian systems. Our method does not require the momentum map to be equivariant, neither to be preserved by the impact map. We illustrate the applicability of our theory with an example.