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math-ph2025
Reduction of hybrid Hamiltonian systems with non-equivariant momentum maps
Leonardo Colombo, MarÃa Emma Eyrea Irazú, MarÃa Eugenia GarcÃa +2
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 b…
math-ph2025
Homogeneous bi-Hamiltonian structures and integrable contact systems
Leonardo Colombo, Manuel de León, MarÃa Emma Eyrea Irazú +1
Bi-Hamiltonian structures can be utilised to compute a maximal set of functions in involution for certain integrable systems, given by the eigenvalues of the recursion operator rel…
math-ph2024
The Optimal Reduction of a 2-Body Problem in R^3
Hernán Cendra, MarÃa Eugenia GarcÃa
In this paper we describe optimal reduction for the system of two bodies in whose Hamiltonian is invariant under rotations and translations. In doing this, we introd…