On Synchronization of Quasiperiodic Oscillations

DOI10.20537/nd180307zbMath1423.34068OpenAlexW2897433384MaRDI QIDQ5230246

Kirill Morozov, Albert D. Morozov

Publication date: 21 August 2019

Published in: Nelineinaya Dinamika (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/nd619

zbMATH Keywords

synchronizationresonancesequilibrium statesquasi-periodicperiodicphase curvesaveraged system

Mathematics Subject Classification ID

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) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Synchronization of solutions to ordinary differential equations (34D06)

Related Items

On resonances under quasi-periodic perturbations of systems with a double limit cycle, close to two-dimensional nonlinear Hamiltonian systems ⋮ 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 ⋮ Degenerate resonances and synchronization in nearly Hamiltonian systems under quasi-periodic perturbations

Cites Work

• On nonconservative periodic systems close to two-dimensional Hamiltonian
• Quasiperiodic perturbations of two-dimensional Hamiltonian systems
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