A simple global representation for second-order normal forms of Hamiltonian systems relative to periodic flows

zbMath1352.70046arXiv1301.3244MaRDI QIDQ2866165

Misael Avendaño-Camacho, José A. Vallejo, Yuri M. Vorobiev

Publication date: 13 December 2013

Full work available at URL: https://arxiv.org/abs/1301.3244

zbMATH Keywords

periodic flow of unperturbed Hamiltoniansecond-order normal form for perturbed Hamiltonians

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Hamilton's equations (70H05) Poisson manifolds; Poisson groupoids and algebroids (53D17) Canonical transformations in symplectic and contact geometry (53D22) Nearly integrable Hamiltonian systems, KAM theory (70H08) Normal forms for nonlinear problems in mechanics (70K45)

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A perturbation theory approach to the stability of the Pais-Uhlenbeck oscillator ⋮ \(G\)-invariant deformations of almost-coupling Poisson structures ⋮ Hamiltonian dynamical systems: symbolical, numerical and graphical study

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