5 citations · 11 across the 5 of their papers we have counts for
5 papers
Reduction of symmetric time-dependent Hamiltonian systems I: presymplectic principal -bundles
C. Benítez, D. Iglesias Ponte, J. C. Marrero +1
The reduction of mechanical presymplectic structures and its application to the reduction of time-dependent Hamiltonian systems were developed in a recent paper (Gutiérrez Sagredo…
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…
Mechanical Hamiltonian systems with respect to linear Poisson structures and Jacobi-Reeb dynamics
D. Iglesias Ponte, J. C. Marrero, E. Padrón
In this paper, we present a relation between Jacobi-Reeb dynamics and the dynamics associated with a mechanical Hamiltonian system with respect to a linear Poisson structure on a v…
Hamiltonian Dynamics on Lie Algebroids, Unimodularity and Preservation of Volumes
JC Marrero
In this paper we discuss the relation between the unimodularity of a Lie algebroid and the existence of invariant volume forms for the hamiltonian dynamics on the d…
A general framework for nonholonomic mechanics: Nonholonomic Systems on Lie affgebroids
D. Iglesias, J. C. Marrero, D. Martin de Diego +1
This paper presents a geometric description of Lagrangian and Hamiltonian systems on Lie affgebroids subject to affine nonholonomic constraints. We define the notion of nonholonomi…