Stochastic averaging for a class of single degree of freedom systems with combined Gaussian noises

DOI10.1007/S00707-013-1040-XzbMath1302.60096OpenAlexW2009866580MaRDI QIDQ405039

J. Herrera, H. S. Yoon

Publication date: 4 September 2014

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

Full work available at URL: https://doi.org/10.1007/s00707-013-1040-x

Mathematics Subject Classification ID

Random operators and equations (aspects of stochastic analysis) (60H25) Averaging method for ordinary differential equations (34C29) Ordinary differential equations and systems with randomness (34F05) Bifurcation of solutions to ordinary differential equations involving randomness (34F10)

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Cites Work

• Unnamed Item
• Stochastic bifurcation in Duffing system subject to harmonic excitation and in presence of random noise
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Phase portraits and bifurcations of the non-linear oscillator: \(x+(\alpha+\gamma x^ 2)x'+\beta x+\delta x^ 3=0\)
• Asymptotics of multidimensional integrals depending singularly on a small parameter
• Global manifold control in a driven laser: sustaining chaos and regular dynamics
• Antireliability of noise-driven neurons
• Effective long-time phase dynamics of limit-cycle oscillators driven by weak colored noise
• Bifurcation behavior of nonlinear pipes conveying pulsating flow
• Stochastic bifurcation

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