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Response solutions of quasi-periodically forced degenerate oscillator equations with small parameters

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Publication:6652560
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DOI10.1007/s10884-023-10257-3MaRDI QIDQ6652560

Song Ni, Junxiang Xu, Zhichao Ma, Dongfeng Zhang

Publication date: 12 December 2024

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)



zbMATH Keywords

degenerate equilibrium pointquasi-periodic systemsoscillator equationKAM-iteration


Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Quasi-periodic motions and invariant tori for nonlinear problems in mechanics (70K43) 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) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)








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