Degenerate resonances in Hamiltonian systems with 3/2 degrees of freedom
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Publication:5706311
DOI10.1063/1.1484275zbMath1080.37575OpenAlexW2000692505WikidataQ53800468 ScholiaQ53800468MaRDI QIDQ5706311
Publication date: 7 November 2005
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1063/1.1484275
Stability for nonlinear problems in mechanics (70K20) Stability problems for problems in Hamiltonian and Lagrangian mechanics (70H14) Nonlinear resonances for nonlinear problems in mechanics (70K30)
Related Items (12)
Degenerate resonances in Hamiltonian systems: from Poincaré-Birkhoff chains to vortex pairs and Kármán vortex streets ⋮ Degenerate resonances and synchronization of quasiperiodic oscillations ⋮ The eccentric Kozai-Lidov effect as a resonance phenomenon ⋮ Meanders and reconnection–collision sequences in the standard nontwist map ⋮ Twist singularities for symplectic maps ⋮ A simple reconnecting map ⋮ Normal forms for 4D symplectic maps with twist singularities ⋮ Poincaré index and periodic solutions of perturbed autonomous systems ⋮ 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
Cites Work
- Four-dimensional mapping model for two-frequency electron cyclotron resonance heating
- The birth process of periodic orbits in non-twist maps
- Fermi acceleration revisited
- Nonmonotonic twist maps
- Chaotic transport by Rossby waves in shear flow
- Islands of accelerator modes and homoclinic tangles
- Two‐dimensional model of a kicked oscillator: Motion with intermittency
- On the investigation of degenerate resonances.
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