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Period-doubling bifurcation of stochastic Duffing one-sided constraint system

Wang Rui Feng Jin-Qian Xu Wei

Period-doubling bifurcation of stochastic Duffing one-sided constraint system

Wang Rui, Feng Jin-Qian, Xu Wei
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  • Abstract views:  3962
  • PDF Downloads:  1350
  • Cited By: 0
Publishing process
  • Received Date:  12 February 2006
  • Accepted Date:  03 April 2006
  • Published Online:  20 November 2006

Period-doubling bifurcation of stochastic Duffing one-sided constraint system

  • 1. (1)陕西师范大学数学系,西安 710062; (2)西北工业大学理学院应用数学系,西安 710072

Abstract: The conditions of constraint are treated by means of the mean constraint plane and the mean jump equation, in which the method of the Chebyshev polynomial approximation, previously used to explore period-doubling bifurcation of stochastic smooth systems, is applied to stochastic non-smooth systems. Numerical simulations show that period-doubling bifurcation exists in stochastic Duffing one-sided constraint system just as in smooth stochastic Duffing system, and furthermore, the Chebyshev polynomial approximation is an effective method in exploring the dynamical behavior of stochastic non-smooth system.

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