Bifurcation analysis of parametrically excited Rayleigh--Liénard oscillators

DOI10.1023/A:1012927427474zbMath1020.70012OpenAlexW54182136MaRDI QIDQ5960050

Attilio Maccari

Publication date: 11 April 2002

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

Full work available at URL: https://doi.org/10.1023/a:1012927427474

zbMATH Keywords

asymptotic perturbation methodFourier expansionlimit cyclesbifurcationdamping termhomoclinic orbitsDulac criteriontime scalingperiod doubling route to chaosPoincaré-Bendixson theoremRayleigh-Liénard oscillators

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Bifurcations and instability for nonlinear problems in mechanics (70K50)

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Dynamic response and bifurcation for Rayleigh-Liénard oscillator under multiplicative colored noise ⋮ Dynamical analysis of a compound oscillator with initial phase difference

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