Bifurcation of the equilibrium of an oscillator with a velocity-dependent restoring force under periodic perturbations

DOI10.1134/S0012266119080020zbMath1437.34048OpenAlexW2972946546WikidataQ127243209 ScholiaQ127243209MaRDI QIDQ2009903

V. R. Bukaty, Yuri N. Bibikov

Publication date: 3 December 2019

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

Full work available at URL: https://doi.org/10.1134/s0012266119080020

zbMATH Keywords

periodic perturbationaveraging methodKrylov-Bogolyubov theory

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Averaging method for ordinary differential equations (34C29) Invariant manifolds for ordinary differential equations (34C45) Perturbations, asymptotics of solutions to ordinary differential equations (34E10) Almost and pseudo-almost periodic solutions to ordinary differential equations (34C27)

Cites Work

• Periodic perturbations of a nonconservative center
• On stability of zero solution of an essentially nonlinear second-order differential equation
• Bifurcation of an oscillatory mode under a periodic perturbation of a special oscillator
• Integral manifolds of perturbed differential systems

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