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We develop a reduction scheme á la Marsden–Weinstein–Meyer for hybrid Hamiltonian systems. Our method does not require the momentum map to be equivariant, nor to be preserved by the impact map. We illustrate the applicability of our theory with an example.

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Reduction of Hybrid Hamiltonian Systems with Non-equivariant Momentum Maps

  • 会议论文

  • 发表日期：

    2026年

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  • Leonardo Colombo,
  • María Emma Eyrea Irazú,
  • María Eugenia García,
  • Asier López-Gordón,
  • Marcela Zuccalli

摘要

We develop a reduction scheme á la Marsden–Weinstein–Meyer for hybrid Hamiltonian systems. Our method does not require the momentum map to be equivariant, nor to be preserved by the impact map. We illustrate the applicability of our theory with an example.