Jump and bifurcation of Duffing oscillator under narrow-band excitation

DOI10.1007/BF02487660zbMath0815.70016MaRDI QIDQ4300272

Qitai Wu, Minqing Lu, Wei-Qiu Zhu

Publication date: 8 August 1994

Published in: Acta Mechanica Sinica (Search for Journal in Brave)

zbMATH Keywords

Gaussian white noisehardening springGaussian stationary random processmore probable motionsstationary joint probability densities

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Forced motions for nonlinear problems in mechanics (70K40) Random vibrations in mechanics of particles and systems (70L05)

Related Items (3)

Stochastic bifurcations and its regulation in a Rijke tube model ⋮ Bifurcation Regulations Governed by Delay Self-Control Feedback in a Stochastic Birhythmic System ⋮ The Effects of Correlated Noise on Bifurcation in Birhythmicity Driven by Delay

Cites Work

• Multiple time scaling of the response of a Duffing oscillator to narrow-band random excitation
• Phase plane for narrow band random excitation of a duffing oscillator
• Stochastic response and stability of the Duffing oscillator under narrowband excitation
• An investigation of multiple solutions yielded by the equivalent linearization method
• Non-linear string random vibration
• The response envelope probability density function of a Duffing oscillator with random narrow-band excitation
• Narrow-Band Excitation of a Nonlinear Oscillator
• Analysis of nonlinear stochastic systems by means of the Fokker–Planck equation†

This page was built for publication: Jump and bifurcation of Duffing oscillator under narrow-band excitation