On resonances under quasi-periodic perturbations of systems with a double limit cycle, close to two-dimensional nonlinear Hamiltonian systems

DOI10.15507/2079-6900.23.202101.11-27OpenAlexW3138009871MaRDI QIDQ5882121

Ol'Ga Sergeevna Kostromina

Publication date: 15 March 2023

Published in: Zhurnal Srednevolzhskogo Matematicheskogo Obshchestva (Search for Journal in Brave)

Full work available at URL: http://mathnet.ru/eng/svmo786

zbMATH Keywords

resonancesquasi-periodic perturbationspendulum-type equationsaveraged systemsdouble limit cycle

Mathematics Subject Classification ID

Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15)

Cites Work

• Unnamed Item
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• Complex dynamics in Duffing-Van der Pol equation
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• Forced quasiperiodic and almost periodic oscillations of nonlinear duffing equations
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• Bifurcations and Chaos in the Duffing Equation with Parametric Excitation and Single External Forcing
• Global Dynamics of Systems Close to Hamiltonian Ones Under Nonconservative Quasi-periodic Perturbation
• On limit cycles, resonance and homoclinic structures in asymmetric pendulum-type equation
• On Synchronization of Quasiperiodic Oscillations
• On Global Dynamics in Duffing Equation with Quasiperiodic Perturbation

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