Quasiperiodic perturbations of twodimensional Hamiltonian systems with nonmonotone rotation

DOI10.1007/s10958-021-05411-5zbMath1468.70011OpenAlexW3165256072WikidataQ114225223 ScholiaQ114225223MaRDI QIDQ2027497

Kirill Morozov, Albert D. Morozov

Publication date: 27 May 2021

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10958-021-05411-5

zbMATH Keywords

perturbation theoryHamiltonian systemDuffing equationbifurcaction

Mathematics Subject Classification ID

General perturbation schemes for nonlinear problems in mechanics (70K60) Perturbation theories for problems in Hamiltonian and Lagrangian mechanics (70H09)

Related Items

Degenerate resonances and synchronization of quasiperiodic oscillations ⋮ Degenerate resonances and synchronization in nearly Hamiltonian systems under quasi-periodic perturbations

Cites Work

• Unnamed Item
• On degenerate resonances and ``vortex pairs
• On nonconservative periodic systems close to two-dimensional Hamiltonian
• Nonmonotonic twist maps
• Reconnection scenarios and the threshold of reconnection in the dynamics of non-twist maps.
• Quasiperiodic perturbations of two-dimensional Hamiltonian systems
• A simple reconnecting map
• On degenerate resonances in nearly Hamiltonian systems
• On bifurcations in degenerate resonance zones
• Regularity of critical invariant circles of the standard nontwist map
• Breakup of shearless meanders and “outer” tori in the standard nontwist map
• Global Dynamics of Systems Close to Hamiltonian Ones Under Nonconservative Quasi-periodic Perturbation
• Meanders and reconnection–collision sequences in the standard nontwist map
• Degenerate resonances in Hamiltonian systems with 3/2 degrees of freedom
• On the investigation of degenerate resonances.