Principal response of van der Pol-Duffing oscillator under combined deterministic and random parametric excitation.

DOI10.1007/BF02438337zbMath1057.70014MaRDI QIDQ698929

Tong Fang, Wei Xu, Guang Meng, Hai-Wu Rong, Xiang-dong Wang

Publication date: 2002

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

method of multiple scalesbifurcationslargest Lyapunov exponent

Mathematics Subject Classification ID

Forced motions for nonlinear problems in mechanics (70K40) Random vibrations in mechanics of particles and systems (70L05) Parametric resonances for nonlinear problems in mechanics (70K28)

Related Items (2)

Nonlinear stochastic analysis for lateral vibration of footbridge under pedestrian narrowband excitation ⋮ Responses of strongly non-linear oscillator parametrically excited by random narrow-band noise

Cites Work

• Response statistics of nonlinear systems to combined deterministic and random excitations
• Multiple time scaling of the response of a Duffing oscillator to narrow-band random excitation
• Parametric Random Excitation of a Damped Mathieu Oscillator
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