On bifurcations in degenerate resonance zones

DOI10.1134/S1560354714040030zbMath1335.37037arXiv1412.1252OpenAlexW1987975906MaRDI QIDQ2513984

Albert D. Morozov

Publication date: 29 January 2015

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

Full work available at URL: https://arxiv.org/abs/1412.1252

zbMATH Keywords

Hamiltonian systemsbifurcationsresonancessymplectic mapsseparatrixvortex pairsaveraged systemsdegenerate resonances

Mathematics Subject Classification ID

Bifurcation problems for finite-dimensional Hamiltonian and Lagrangian systems (37J20) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Complex behavior and chaotic systems of ordinary differential equations (34C28) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items

Degenerate resonances in Hamiltonian systems: from Poincaré-Birkhoff chains to vortex pairs and Kármán vortex streets, Nonlinear resonances in the ABC-flow, Degenerate resonances and synchronization of quasiperiodic oscillations, Quasiperiodic perturbations of twodimensional Hamiltonian systems with nonmonotone rotation, Degenerate resonances and synchronization in nearly Hamiltonian systems under quasi-periodic perturbations

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