73 citations · 217 across the 14 of their papers we have counts for
14 papers
Mechanical presymplectic structures and Marsden-Weinstein reduction of time-dependent Hamiltonian systems
I. Gutierrez-Sagredo, D. Iglesias Ponte, J. C. Marrero +1
In 1986, Albert proposed a Marsden-Weinstein reduction process for cosymplectic structures. In this paper, we present the limitations of this theory in the application of the reduc…
Kirillov structures and reduction of Hamiltonian systems by scaling and standard symmetries
A. Bravetti, S. Grillo, J. C. Marrero +1
In this paper, we discuss the reduction of symplectic Hamiltonian systems by scaling and standard symmetries which commute. We prove that such a reduction process produces a so-cal…
Unimodularity and invariant volume forms for Hamiltonian dynamics on Poisson-Lie groups
I. Gutierrez-Sagredo, D. Iglesias Ponte, J. C. Marrero +2
In this paper, we discuss several relations between the existence of invariant volume forms for Hamiltonian systems on Poisson-Lie groups and the unimodularity of the Poisson-Lie s…
Extended Hamilton-Jacobi theory, contact manifolds and integrability by quadratures
S. Grillo, E. Padrón
A Hamilton-Jacobi theory for general dynamical systems, defined on fibered phase spaces, has been recently developed. In this paper we shall apply such a theory to contact Hamilton…
Reduction of a symplectic-like Lie algebroid with momentum map and its application to fiberwise linear Poisson structures
Juan Carlos Marrero, Edith Padron, Miguel Rodriguez-Olmos
This article addresses the problem of developing an extension of the Marsden- Weinstein reduction process to symplectic Lie algebroids, and in particular to the case of the symplec…
Reduction of Poisson-Nijenhuis Lie algebroids to symplectic-Nijenhuis Lie algebroids with nondegenerate Nijenhuis tensor
Antonio De Nicola, Juan Carlos Marrero, Edith Padron
We show how to reduce, under certain regularities conditions, a Poisson-Nijenhuis Lie algebroid to a symplectic-Nijenhuis Lie algebroid with nondegenerate Nijenhuis tensor. We gene…