21 citations · 29 across the 7 of their papers we have counts for
4 papers · 1 filter
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…
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…