4.7 Article

Moment Lyapunov exponent and stochastic stability of binary airfoil driven by non-Gaussian colored noise

Journal

NONLINEAR DYNAMICS
Volume 70, Issue 3, Pages 1847-1859

Publisher

SPRINGER
DOI: 10.1007/s11071-012-0577-x

Keywords

Moment Lyapunov exponent; Stochastic stability; Perturbation method; Non-Gaussian colored noise; Monte Carlo simulation

Funding

  1. National Natural Science Foundation of China [11072107, 91016022]
  2. Specialized Research Fund for the Doctoral Program of Higher Education of China [20093218110003]

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In this paper, the moment Lyapunov exponent and stochastic stability of binary airfoil subjected to non-Gaussian colored noise are investigated. The noise is simplified to an Ornstein-Uhlenbeck process by applying a path-integral approach. Via the singular perturbation method, the second-order expansions of the moment Lyapunov exponent are obtained, which agree with the results obtained using the Monte Carlo simulation well. Finally, the effects of the noise and system parameters on the stochastic stability of the binary airfoil system are discussed.

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