Quasiperiodic perturbations of two-dimensional Hamiltonian systems

DOI10.1134/S0012266117120047zbMath1394.34088OpenAlexW2483840363MaRDI QIDQ1709665

Kirill Morozov, Albert D. Morozov

Publication date: 6 April 2018

Published in: Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0012266117120047

zbMATH Keywords

Hamiltonian systemquasiperiodic oscillations

Mathematics Subject Classification ID

Perturbations of finite-dimensional Hamiltonian systems, normal forms, small divisors, KAM theory, Arnol'd diffusion (37J40) Invariant manifolds for ordinary differential equations (34C45) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Multifrequency systems of ordinary differential equations (34C46)

Related Items

On resonances under quasi-periodic perturbations of systems with a double limit cycle, close to two-dimensional nonlinear Hamiltonian systems ⋮ On Global Dynamics in Duffing Equation with Quasiperiodic Perturbation ⋮ Degenerate resonances and synchronization of quasiperiodic oscillations ⋮ Global Dynamics of Systems Close to Hamiltonian Ones Under Nonconservative Quasi-periodic Perturbation ⋮ On Quasi-Periodic Parametric Perturbations of Hamiltonian Systems ⋮ Quasiperiodic perturbations of twodimensional Hamiltonian systems with nonmonotone rotation ⋮ On Synchronization of Quasiperiodic Oscillations ⋮ Degenerate resonances and synchronization in nearly Hamiltonian systems under quasi-periodic perturbations

Cites Work

• On nonconservative periodic systems close to two-dimensional Hamiltonian
• Forced quasiperiodic and almost periodic oscillations of nonlinear duffing equations
• Quasiperiodic solutions of Duffing’s equations
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