J. Vallejo

activity

20012026

most citedA perturbation theory approach to the stability of the Pais-Uhlenbeck oscillator

21 citations · 84 across the 27 of their papers we have counts for

collaborators

Showing 2013Show all

3 papers · 1 filter

math.DS2013★ 14 cited

Higher order corrections to adiabatic invariants of generalized slow-fast Hamiltonian systems

M. Avendaño-Camacho, J. A. Vallejo, Yu. Vorobiev

We present a coordinate-free approach for constructing approximate first integrals of generalized slow-fast Hamiltonian systems, based on the global averaging method on parameter-d…

math.DG2013★ 1 cited

Quillen superconnections and connections on supermanifolds

J. V. Beltrán, J. Monterde, J. A. Vallejo

Given a supervector bundle $E = E_{0} \oplus E_{1} \to M$ , we exhibit a parametrization of Quillen superconnections on $E$ by graded connections on the Cartan-Koszul supermanifold $(M;Ω…

math-ph2013★ 4 cited

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 $H_{ε} = H_{0} + ε H_{1} + \frac{ε ^{2}}{2} H_{2}$ , relative to the periodic flow of the unperturbed Hamiltoni…