Reduction of hybrid Hamiltonian systems with non-equivariant momentum maps

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.

6 pages, to appear on the proceedings of the International Conference on Geometric Science of Information 2025 (GSI 25)

References in corpus (2)

• Reviewing the Geometric Hamilton-Jacobi Theory concerning Jacobi and Leibniz identities
• On the dynamics of a heavy symmetric ball that rolls without sliding on a uniformly rotating surface of revolution