| 参激白噪声作用下Lorenz系统的脉冲同步 |
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| 引用本文： | 牛玉俊,马戈.参激白噪声作用下Lorenz系统的脉冲同步[J].南阳理工学院学报,2010,2(6). |
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| 作者姓名： | 牛玉俊 马戈 |
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| 作者单位： | 南阳理工学院应用数学系,河南,南阳,473004 |
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| 摘 要： | 考察了白噪声作用下脉冲动力系统的随机渐近稳定性,建立了随机脉冲系统随机渐近稳定性比较定理,从而可由一个确定性比较系统的稳定性得到原随机脉冲系统的随机渐近稳定性。并将该比较定理应用到白噪声作用下Lorenz系统的脉冲同步中去,得到能使该系统实现混沌控制的参数区域,并通过数值试验验证了理论结果的正确性。
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| 关 键 词： | 白噪声 脉冲系统 随机渐近稳定性 脉冲控制 |
IMPULSIVE SYNCHRONIZATION OF LORENZ SYSTEM WITH WHITE NOISE |
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| NIU Yu-jun,MA Ge.IMPULSIVE SYNCHRONIZATION OF LORENZ SYSTEM WITH WHITE NOISE[J].Journal of Nanyang Institute of Technology,2010,2(6). |
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| Authors: | NIU Yu-jun MA Ge |
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| Institution: | NIU Yu-jun; MA Ge(Department of Mathematical Science; Nanyang Institute of Technology; Nanyang 473004; China); |
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| Abstract: | In this paper, the stochastic asymptotical stability of stochastic impulsive differential equations is studied, and a comparison theory about the stochastic asymptotical stability of trivial solution is established. From the comparison theory, we can find out whether the stochastic impulsive differential system is stochastic asymptotically stable by studying the stability of a deterministic comparison system. As an application of this theory, we study the problem of chaos synchronization in Lorenz system us... |
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| Keywords: | white noise impulsive system stochastic asymptotical stability impulsive control |
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