21 citations · 29 across the 7 of their papers we have counts for
8 papers
Jacobi fields and Jacobi sections for semisprays on Lie algebroids: transverse variations and equivalences
Misael Avendaño Camacho, Jhonny Kama Mamani
We study the relationship between Jacobi sections and Jacobi fields associated with semisprays on Lie algebroids. First, we characterize compatible transverse variations in terms o…
On Gauge Poisson Brackets with Prescribed Symmetry
M. Avendaño-Camacho, J. C. Ruíz-Pantaleón, Yu. Vorobiev
In the context of averaging method, we describe a reconstruction of invariant connection-dependent Poisson structures from canonical actions of compact Lie groups on fibered phase…
Geometrical Aspects of the Hamiltonization Problem of Dynamical Systems
Misael Avendaño-Camacho, Claudio C. García-Mendoza, José C. Ruíz-Pantaleón +1
Some positive answers to the problem of endowing a dynamical system with a Hamiltonian formulation are presented within the class of Poisson structures in a geometric framework. We…
Closed stable orbits in a strongly coupled resonant Wilberforce pendulum
Misael Avendaño-Camacho, Alejandra Torres-Manotas, José A Vallejo
We prove the existence of closed stable orbits in a strongly coupled Wilberforce pendulum, for the case of a resonance, by using techniques of geometric singular symplectic r…
A perturbation theory approach to the stability of the Pais-Uhlenbeck oscillator
Misael Avendaño-Camacho, José A. Vallejo, Yury Vorobiev
We present a detailed analysis of the orbital stability of the Pais-Uhlenbeck oscillator, using Lie-Deprit series and Hamiltonian normal form theories. In particular, we explicitly…
Semiclassical Szegö limit of eigenvalue clusters for the hydrogen atom Zeeman Hamiltonian
Misael Avendano-Camacho, Peter D. Hislop, Carlos Villegas-Blas
We prove a limiting eigenvalue distribution theorem (LEDT) for suitably scaled eigenvalue clusters around the discrete negative eigenvalues of the hydrogen atom Hamiltonian formed…
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…
A simple global representation for second-order normal forms of Hamiltonian systems relative to periodic flows
M. Avendaño-Camacho, J. A. Vallejo, Yu. Vorobjev
We study the determination of the second-order normal form for perturbed Hamiltonians , relative to the periodic flow of the unperturbed Hamiltoni…