带跳的随机Duffing-Van Der Pol方程的随机吸引子(英文)  

The Random Attractors of Stochastic Duffing-Van Der Pol Equations with Jumps

作　　者：谢颖超[1] 

机构地区：[1]徐州师范大学数学科学学院,徐州221116

出　　处：《应用概率统计》2010年第1期9-23,共15页Chinese Journal of Applied Probability and Statistics

基　　金：supported by the National Natural Science Foundation of China(10671168,10971180);the Natural Science Foundation of the Jiangsu Province(07-333)

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.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.

关 键 词：随机吸引子 随机动力系统 随机分岔 带跳的随机Duffing-van der POL方程 

分 类 号：O211.63[理学—概率论与数理统计]