谢颖超. 带跳的随机Duffing-Van Der Pol方程的随机吸引子[J]. 应用概率统计, 2010, 26(1): 9-23.
引用本文: 谢颖超. 带跳的随机Duffing-Van Der Pol方程的随机吸引子[J]. 应用概率统计, 2010, 26(1): 9-23.
Xie Yingchao. The Random Attractors of StochasticDuffing-Van Der Pol Equations with Jumps[J]. Chinese Journal of Applied Probability and Statistics, 2010, 26(1): 9-23.
Citation: Xie Yingchao. The Random Attractors of StochasticDuffing-Van Der Pol Equations with Jumps[J]. Chinese Journal of Applied Probability and Statistics, 2010, 26(1): 9-23.

带跳的随机Duffing-Van Der Pol方程的随机吸引子

The Random Attractors of StochasticDuffing-Van Der Pol Equations with Jumps

  • 摘要: 本文利用随机动力系统和随机分析方法, 研究了在一定条件下带跳的随机Duffing-van der Pol方程随机吸引子的存在性和随机分岔.

     

    Abstract: In this paper, the theory of random dynamical systems and stochastic analysis are used to research the existence of random attractors and also stochastic bifurcation behavior for stochastic Duffing-van der Pol equation with jumps under some assumptions.

     

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