Periodic perturbations of a nonlinear oscillator

DOI10.1134/S0012266116040017zbMath1355.34092MaRDI QIDQ304629

A. G. Savel'eva, Yuri N. Bibikov

Publication date: 26 August 2016

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

zbMATH Keywords

Lyapunov stabilitybifurcationnonlinear oscillatorinvariant torusperiodic perturbations

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Stability of solutions to ordinary differential equations (34D20) Perturbations of ordinary differential equations (34D10) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Invariant manifolds for ordinary differential equations (34C45) Perturbations, asymptotics of solutions to ordinary differential equations (34E10)

Related Items (3)

Periodic perturbations of a nonconservative center ⋮ On the stability of the zero solution of a second-order differential equation under a periodic perturbation of the center ⋮ Bifurcation of an oscillatory mode under a periodic perturbation of a special oscillator

Cites Work

• Stability and bifurcation for periodic perturbations of the equilibrium of an oscillator with infinite or infinitesimal oscillation frequency
• Integral manifolds of perturbed differential systems

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