Principal resonance of a Duffing oscillator with delayed state feedback under narrow-band random parametric excitation

DOI10.1007/s11071-006-9152-7zbMath1193.70036OpenAlexW2021526100MaRDI QIDQ842216

Yanfei Jin, Hai-Yan Hu

Publication date: 22 September 2009

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

Full work available at URL: https://doi.org/10.1007/s11071-006-9152-7

zbMATH Keywords

stabilitytime delaylargest Lyapunov exponentnarrow-band random noise

Mathematics Subject Classification ID

Random vibrations in mechanics of particles and systems (70L05) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (5)

Analysis of limit cycles and stochastic responses of a real-power vibration isolation system under delayed feedback control ⋮ Enhanced energy harvesting using time-delayed feedback control from random rotational environment ⋮ Estimation of time-variant system reliability of nonlinear randomly excited systems based on the Girsanov transformation with state-dependent controls ⋮ Diffusive behavior of a coupled generalized Langevin system under bounded noise ⋮ Multi-valued responses of a nonlinear vibro-impact system excited by random narrow-band noise

Cites Work

• Maximal Lyapunov exponent and almost-sure sample stability for second-order linear stochastic system
• Resonances of a harmonically forced Duffing oscillator with time delay state feedback
• Theory of functional differential equations. 2nd ed
• Bifurcation control of a parametrically excited Duffing system
• Delay equations. Functional-, complex-, and nonlinear analysis
• STOCHASTIC AVERAGING OF STRONGLY NON-LINEAR OSCILLATORS UNDER BOUNDED NOISE EXCITATION
• Random superharmonic and subharmonic response: Multiple time scaling of a duffing oscillator
• The response envelope probability density function of a Duffing oscillator with random narrow-band excitation
• Free vibration of fluid-filled toroidal shells
• The response of a parametrically excited van der Pol oscillator to a time delay state feedback
• Handbook of stochastic methods for physics, chemistry and natural sciences.
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