On degenerate resonances in nearly Hamiltonian systems

DOI10.1070/RD2004V009N03ABEH000283zbMath1102.70010OpenAlexW4238022377MaRDI QIDQ1776544

Albert D. Morozov

Publication date: 12 May 2005

Published in: Regular and Chaotic Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1070/rd2004v009n03abeh000283

zbMATH Keywords

Hamiltonian polyharmonic perturbationmaximal separatrix networknon-degenerate resonance zone

Mathematics Subject Classification ID

Dynamical systems in classical and celestial mechanics (37N05) Nonlinear resonances for nonlinear problems in mechanics (70K30) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

Related Items (5)

Robust attractor of non-twist systems ⋮ Degenerate resonances and synchronization of quasiperiodic oscillations ⋮ Quasiperiodic perturbations of twodimensional Hamiltonian systems with nonmonotone rotation ⋮ On bifurcations in degenerate resonance zones ⋮ Degenerate resonances and synchronization in nearly Hamiltonian systems under quasi-periodic perturbations

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