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一个新的混沌系统的脉冲控制 被引量:1

Impulsive Control and Synchronization of a New Chaotic System
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摘要 基于脉冲系统新的比较定理,通过脉冲控制的方法对一个新的混沌系统进行研究,得到了稳定和同步的充分条件.这个新的混沌系统是一个三维自治混沌系统,它来源于对Lorenz系统的修改,但却不同于Lorenz,R ssler,Chen,Lü等混沌系统. Based on the new comparison theorem of impulsive system, the paper derives some sufficient conditions for the stabilization and synchronization of a new chaotic system via impulsive control with varying impulsive intervals. The new chaotic system is a three-dimensional continuous quadratic autonomous chaotic system,modified from the Lorenz system;in which each equation contrains a single quadratic cross-product term, which is different from the Lorenz, RoeSssler, Chen, Lü systems.
出处 《江南大学学报(自然科学版)》 CAS 2006年第5期614-617,共4页 Joural of Jiangnan University (Natural Science Edition) 
基金 国家自然科学基金项目(10372054) 江南大学青年科学基金项目(000408)
关键词 混沌 混沌吸引子 脉冲控制 脉冲同步 chaos chaotic attractor impulsive control impulsive synchronization
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参考文献11

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同被引文献13

  • 1王繁珍,齐国元,陈增强,张宇辉,袁著祉.一个新的三维混沌系统的分析、电路实现及同步[J].物理学报,2006,55(8):4005-4012. 被引量:38
  • 2王琳,倪樵,黄玉盈.Qi四维系统的暂态混沌现象[J].动力学与控制学报,2007,5(1):18-22. 被引量:4
  • 3LORENZ E N. Deteministic nonperiodic flow. [ J]. Journal of the Atmospheric Sciences, 1963,20(2) : 130 - 141.
  • 4ROSSLER O E. An equation for continuous chaos [J]. Physics Letter A, 1976, 57(5) :397 -398.
  • 5CHEN Guanrong, UETA Tetsushi. Yet another chaotic attractor [J]. International Journal of Bifurcation and Chaos, 1999, 9: 1465 - 1466.
  • 6LU Jinhu, CHEN Guanrong. A new chaotic attractor coined [ J]. International Journal of Bifurcation and Chaos, 2002, 12(3 ) :659 - 661.
  • 7LU Jinhu, CHEN Guanrong, CHENG Daizhan, et al. Bridge the gap between the Lorenz system and the Chen system [ J ]. International Journal of Bifurcation and Chaos, 2002, 12 ( 12 ) : 2917 - 2926.
  • 8LIU C X, LIU T, LIU L. A new chaotic attractor[J]. Chaos Solitons and Fractals, 2004, 22:1031 - 1038.
  • 9QI Guoyuan, CHEN Guanrong, DU Shengzhi, et al. Analysis of a new chaotic system [ J ]. Physica A, 2005, 352(2/3/4) :295 - 308.
  • 10QI Guoyuan, CHEN Guanrong. Analysis and circuit implementation of a new 4D chaotic system [ J ]. Physics Letter A, 2006, 352 (415) : 386 -397.

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