期刊文献+

一类新混沌系统的同步控制研究

The Research on Chaos Synchronization of a New System
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摘要 新Lü混沌系统是一类重要的新混沌系统,它显示了不同于以往混沌系统的复杂的动力学特性.文章主要研究了新Lü混沌系统与统一混沌系统的同步控制问题.基于Lyapunov稳定性定理,利用主动控制和非线性反馈控制均实现了两混沌系统的异结构同步.同时,严格的数学理论分析和数据仿真结果都证明了控制方法的有效性. The new Lu chaotic system is a major class of new chaotic system, and the complexity of the dynamics is very different from the past. This work presents chaos synchronization between a new Lu chaotic system and the unified chaotic system. Based on the Lyapunov stability theory, active control and feedback control methods are applied to achieve chaos synchronization for the new Lu chaotic system and the unified chaotic system. Both rigorous mathematical analysis and numerical simulations are also shown to verify the efficiency of the methods
作者 张艳
出处 《赣南师范学院学报》 2009年第3期10-13,共4页 Journal of Gannan Teachers' College(Social Science(2))
关键词 新Lü混沌系统 混沌同步 反馈控制 主动控制 new Lu chaotic system chaos synchronization feedback control active control
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参考文献10

  • 1Hsien-Keng Chen.Synchronization of two differont chaotic system:a new system and each of the dynamical systems Lorenz,Chen and Lü[J].Chaos,Solitions and Fractals,2005,25:1049 -1056.
  • 2陆君安,陈士华.混沌动力学初步[M].武汉:武汉水利电力大学出版社,1998:43-57.
  • 3Lü J H,Chen G R,Cheng D Z.A new chaotic system and beyond:The genera-lized Lorenz-like system[J].Int J Bifurcation and Chaos,2004,14(5):1507-1537.
  • 4Pecora LM,Carroll TL.Synchronization in chaotic system[J].Phys.Rev.Lett,1990,64:821 -824.
  • 5章婷芳,姚洪兴,耿霞.新Lü系统的混沌同步控制[J].复杂系统与复杂性科学,2006,3(3):42-47. 被引量:4
  • 6Elabbasy,E.M.,Agiza,H.N,and El-Dessoky,M.M.Adaptive synchronization of a hyperchaotic system with uncertain parameter[J].Chaos,Solitons and Fractals,2006,30:1133-1142.
  • 7Shihua Chen,Jinhu Lü.Parameters identification and synchronizationof chaotic systems based upon adaptive control[J].Phys.Letters A,2002,299:353-358.
  • 8Ott E,Grebogi C,Yorke J.A.Controlling chaos[J].Phys.Rev.Lett,1990,64:1196-99.
  • 9A.D.Aranjo,S.N.Singh.Output feedback adaptive variable structure control of chaos in Lorenz system[J].Int.J.Bifurcation and Chaos,2002,12:571-582.
  • 10Shahram Etemadi,Aria Alasty,Hassan Salarieh.Synchronization of chaotic system with parameter uncertainties via variable structure control[J].Phys.Letters A,2006,357:17-21.

二级参考文献8

  • 1章婷芳,姚洪兴.双奇怪吸引子的混沌同步控制[J].扬州大学学报(自然科学版),2005,8(3):27-30. 被引量:3
  • 2章婷芳,姚洪兴,耿霞.非线性连续混沌系统的混沌控制与同步[J].系统工程理论与实践,2005,25(11):119-123. 被引量:5
  • 3[2]Mosekilde E.Chaotic synchronization.Applications for Living systems[M].Singapore:World scienctific.2002.
  • 4[3]Pikovsky A.Synchronization,a Universal Concept in Nonlinear Science[M].Cambridge:Cambridge University Press,2001.
  • 5[4]Pecora L M,Carroll T L.Synchronization in chaotic systems[J].Phys Rev Lett,1990,64(8):821-824.
  • 6[7]Hong Y G,Qin H S.Adaptive synchronization of chaotic systems via state or output feedback control[J].Int J Bifurc Chaos,2001.11(4):1 149-1 158.
  • 7[8]Fang J Q.Switching manifold approach to chaos synchronization[J].Phys Rev E,1999,59(3):2 523-2 526.
  • 8[9]Lü J H,Chen G R,Cheng D Z.A new chaotic system and beyond:the generalized Lorenz.like system[J].Int J Bifurcation and Chaos,2004,14(5):1 507-1 537.

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