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On two bifurcations of a white-noise excited Hopf bifurcation system

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Publication:1389948
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DOI10.1007/BF00133341zbMath0902.70018MaRDI QIDQ1389948

Qiu Chen, Dapeng Chen, Xian-bin Liu

Publication date: 14 July 1998

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


zbMATH Keywords

parametric excitationstochastic averaging methoddrift of bifurcation pointsecond bifurcation


Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Random vibrations in mechanics of particles and systems (70L05)


Related Items (1)

On the maximal Lyapunov exponent for a real noise parametrically excited co-dimension two bifurcation system. I




Cites Work

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  • Noise and bifurcations.
  • Lyapunov exponent and rotation number of a two-dimensional nilpotent stochastic system
  • Sample Stability of Second Order Linear Differential Equations with Wide Band Noise Coefficients
  • On the stability of two-dimensional linear stochastic systems
  • Maximal Lyapunov Exponent and Rotation Number for Stochastically Perturbed Co-dimension Two Bifurcations
  • Necessary and Sufficient Conditions for Almost Sure Sample Stability of Linear Ito Equations
  • Stochastic bifurcation




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