The saddle case of Rayleigh-Duffing oscillators

DOI10.1007/s11071-018-4325-8zbMath1398.34047OpenAlexW2807532976WikidataQ129729663 ScholiaQ129729663MaRDI QIDQ1800923

Hebai Chen, Deqing Huang, Yupei Jian

Publication date: 26 October 2018

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

Full work available at URL: https://doi.org/10.1007/s11071-018-4325-8

zbMATH Keywords

limit cyclebifurcation diagramRayleigh-Duffing oscillator2-saddle loop

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Bifurcation theory of functional-differential equations (34K18) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (5)

Chaos of the Rayleigh-Duffing oscillator with a non-smooth periodic perturbation and harmonic excitation ⋮ Two masses in relative Hooke's potential and elliptic integrals ⋮ Dynamics of polynomial Rayleigh-Duffing system near infinity and its global phase portraits with a center ⋮ The focus case of a nonsmooth Rayleigh-Duffing oscillator ⋮ Global dynamics of a quintic Liénard system with Z2 -symmetry I: saddle case

Cites Work

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