Parametric excitation for two internally resonant van der Pol oscillators

DOI10.1023/A:1015256601956zbMath1011.70019OpenAlexW52119744MaRDI QIDQ1610735

Attilio Maccari

Publication date: 20 August 2002

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

Full work available at URL: https://doi.org/10.1023/a:1015256601956

zbMATH Keywords

asymptotic perturbation methodcoupled van der Pol oscillatorsharmonic parametric excitationslow motion equations

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) General perturbation schemes for nonlinear problems in mechanics (70K60) Parametric resonances for nonlinear problems in mechanics (70K28) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (6)

Resonance and bifurcation in a nonlinear duffing system with cubic coupled terms ⋮ Parametric excitation for forcing van der Pol oscillator. ⋮ Resonance responses in a two-degree-of-freedom viscoelastic oscillator under randomly disordered periodic excitations ⋮ A refined asymptotic perturbation method for nonlinear dynamical systems ⋮ An approximate solution treatment for nonlinear problems ⋮ On a problem of modified Lindstedt--Poincaré for certain strongly nonlinear oscillators

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