Yu. Vorobiev

activity

20142017

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

21 citations · 23 across the 3 of their papers we have counts for

collaborators

3 papers

math-ph2017★ 21 cited

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…

math.SG2016★ 1 cited

$G$ -Invariant Deformations of Almost-Coupling Poisson Structures

José Antonio Vallejo, Yury Vorobiev

On a foliated manifold equipped with an action of a compact Lie group $G$ , we study a class of almost-coupling Poisson and Dirac structures, in the context of deformation theory an…

math.DG2014★ 1 cited

Lie algebroids generated by cohomology operators

D. García-Beltrán, J. A. Vallejo, Yu. Vorobiev

By studying the Frölicher-Nijenhuis decomposition of cohomology operators (that is, derivations $D$ of the exterior algebra $Ω (M)$ with $Z -$ degree $1$ and $D^{2} = 0$ ), we des…

A perturbation theory approach to the stability of the Pais-Uhlenbeck oscillator

G-Invariant Deformations of Almost-Coupling Poisson Structures

Lie algebroids generated by cohomology operators

$G$ -Invariant Deformations of Almost-Coupling Poisson Structures