On nonlinear oscillations of a near-autonomous Hamiltonian system in one case of integer nonequal frequencies

DOI10.20537/ND231103MaRDI QIDQ6492138

Olga V. Kholostova

Publication date: 24 April 2024

Published in: Russian Journal of Nonlinear Dynamics (Search for Journal in Brave)

zbMATH Keywords

stabilityKAM theoryHamiltonian systemperiodic motionsmultiple parametric resonanceconditionally periodic motionsparametric resonance regions

Mathematics Subject Classification ID

Dynamical systems and ergodic theory (37-XX)

Cites Work

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• On periodic motions of a nearly autonomous Hamiltonian system in the occurrence of double parametric resonance
• On the motions of one near-autonomous Hamiltonian system at a 1:1:1 resonance
• Mathematical aspects of classical and celestial mechanics. Transl. from the Russian by E. Khukhro.
• Convergent series expansions for quasi-periodic motions
• On periodic motions of a nonautonomous Hamiltonian system in one case of multiple parametric resonance
• On the motions of a near-autonomous Hamiltonian system in the cases of two zero frequencies
• On Nonlinear Oscillations of a Near-Autonomous Hamiltonian System in the Case of Two Identical Integer or Half-Integer Frequencies
• On Nonlinear Oscillations of a Time-Periodic Hamiltonian System at a 2:1:1 Resonance

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