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On degenerate resonances and ``vortex pairs

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Publication:652939
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zbMath1229.34054MaRDI QIDQ652939

Albert D. Morozov

Publication date: 6 January 2012

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


zbMATH Keywords

Hamiltonian systemsresonancesPoincaré mapseparatrixvortex 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) Complex behavior and chaotic systems of ordinary differential equations (34C28)


Related Items (7)

Degenerate resonances in Hamiltonian systems: from Poincaré-Birkhoff chains to vortex pairs and Kármán vortex streets ⋮ Degenerate resonances and synchronization of quasiperiodic oscillations ⋮ A simple reconnecting map ⋮ Quasiperiodic perturbations of twodimensional Hamiltonian systems with nonmonotone rotation ⋮ On degenerate resonances in Hamiltonian systems with two degrees of freedom ⋮ On bifurcations in degenerate resonance zones ⋮ Degenerate resonances and synchronization in nearly Hamiltonian systems under quasi-periodic perturbations




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