36 citations · 78 across the 27 of their papers we have counts for
10 papers · 1 filter
Reduction of hybrid Hamiltonian systems with non-equivariant momentum maps
Leonardo Colombo, María Emma Eyrea Irazú, María Eugenia García +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…
Homogeneous bi-Hamiltonian structures and integrable contact systems
Leonardo Colombo, Manuel de León, María 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…
Momentum map reduction for nonholonomic systems
Paula Balseiro, Maria E. Garcia, Cora Tori +1
This paper presents a reduction procedure for nonholonomic systems admitting suitable types of symmetries and conserved quantities. The full procedure contains two steps. The first…
Variational reduction of Hamiltonian systems with general constraints
Sergio Grillo, Leandro Salomone, Marcela Zuccalli
In the Hamiltonian formalism, and in the presence of a symmetry Lie group, a variational reduction procedure has already been developed for Hamiltonian systems without constraints.…
Explicit solutions of the kinetic and potential matching conditions of the energy shaping method
Sergio D. Grillo, Leandro M. Salomone, Marcela Zuccalli
In this paper we present a procedure to integrate, up to quadratures, the matching conditions of the energy shaping method. We do that in the context of underactuated Hamiltonian s…
Dirac approach to constrained submanifolds in a double loop group: from WZNW to Poisson-Lie -model
H. Montani, M. Zuccalli
We study the restriction to a family of second class constrained submanifolds in the cotangent bundle of a double Lie group, equipped with a 2-cocycle extended symplectic form, bui…