19 citations · 30 across the 6 of their papers we have counts for
6 papers
Compatible Poisson Structures on Fibered -Manifolds
R. Flores-Espinoza, J. C. Ruíz-Pantaleón, Yu. Vorobiev
We study a class of Poisson tensors on a fibered manifold which are compatible with the fiber bundle structure by the so-called almost coupling condition. In the case of a -dime…
Regular Foliations and Poisson Structures on Orientable Manifolds
Rubén Flores-Espinoza, Misael Avendaño-Camacho
On an orientable manifold M, we consider a regular even dimensional foliation F which is globally defined by a set of k-independent 1-forms. We give necessary and sufficient condit…
The Lie Transform Method for perturbations of contravariant antisymmetric tensor fields and its applications to Hamiltonian dynamics
Ruben Flores-Espinoza
By means of the Schouten calculus for contravariant antisymmetric tensor fields, we apply the Lie transform method to investigate smooth deformations of tensor fields and, in parti…
On Poisson structures on R4
Rubén Flores-Espinoza
This paper is devoted to the study of Poisson structures on the Euclidean four dimensional space R4. By using the properties of the trace operator associated to a volumen form and…
Periodic first integrals for Hamiltonian systems of Lie type
Ruben Flores-Espinoza
We prove the existence of a Lie algebra of first integrals for time dependent Hamiltonian systems of Lie type. Moreover, applying the Floquet theory for periodic Euler systems on L…
Phase Splitting for Periodic Lie Systems
R. Flores-Espinoza, Javier de Lucas, Yurii Vorobjev
In the context of the Floquet theory, using a variation of parameter argument, we show that the logarithm of the monodromy of a real periodic Lie system with appropriate properties…