Global study of Rayleigh–Duffing oscillators

DOI10.1088/1751-8113/49/16/165202zbMath1359.34040OpenAlexW2543919710MaRDI QIDQ3186619

Lan Zou, Hebai Chen

Publication date: 10 August 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/49/16/165202

zbMATH Keywords

limit cyclebifurcation diagramhomoclinic loopgluing bifurcationRayleigh-Duffing oscillator

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (8)

Lower bounds for the number of limit cycles in a generalised Rayleigh–Liénard oscillator ⋮ Chaos of the Rayleigh-Duffing oscillator with a non-smooth periodic perturbation and harmonic excitation ⋮ An oscillator with two discontinuous lines and Van der Pol damping ⋮ The focus case of a nonsmooth Rayleigh-Duffing oscillator ⋮ On the dynamics of the Rayleigh-Duffing oscillator ⋮ Liouvillian integrability of a general Rayleigh-Duffing oscillator ⋮ The saddle case of Rayleigh-Duffing oscillators ⋮ The study on cyclicity of a class of cubic systems

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