15 citations · 24 across the 5 of their papers we have counts for
5 papers
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…
Extended Hamilton-Jacobi Theory, symmetries and integrability by quadratures
Sergio Grillo, Juan Carlos Marrero, Edith Padrón
In this paper, we study the extended Hamilton-Jacobi Theory in the context of dynamical systems with symmetries. Given an action of a Lie group on a manifold and a -inva…
On symplectic lifts of actions for complete Lagrangian fibrations
Juan Carlos Marrero, Edith Padrón
In this note we discuss symplectic lifts of actions for a complete Lagrangian fibration. Firstly, we describe the symplectic cotangent lifts of a G-action on a manifold Q in terms…
A Hamilton-Jacobi Theory for general dynamical systems and integrability by quadratures in symplectic and Poisson manifolds
Sergio Grillo, Edith Padrón
In this paper we develope, in a geometric framework, a Hamilton-Jacobi Theory for general dynamical systems. Such a theory contains the classical theory for Hamiltonian systems on…
Reduction of symplectic principal -bundles
Ignazio Lacirasella, Juan Carlos Marrero, Edith Padrón
We describe a reduction process for symplectic principal -bundles in the presence of a momentum map. This type of structures plays an important role in the geometric fo…