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具有双向耦合的混沌系统的完全同步 被引量:3

Complete Synchronization of Chaotic Systems with Bidirectional Coupling
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摘要 对具有双向耦合的混沌系统,首先通过广义哈密顿系统和观测器的方法重新设计;其次利用Lyapunov稳定性理论对其误差系统的零解稳定性进行研究,得到了完全同步的条件;最后将该方法应用到洛伦兹系统,数值结果也表明了该方法的正确性. Chaotic systems with bidirectional coupling were redesigned through a generalized Hamiltonian system and observer approach.The error systems were investigated by the Lyapunov stability theory,and synchronization conditions were obtained.The method was applied to Lorenz system and the numerical results coincided with theoretical analysis.
机构地区 郑州大学数学系
出处 《郑州大学学报(理学版)》 CAS 北大核心 2012年第3期29-33,共5页 Journal of Zhengzhou University:Natural Science Edition
基金 国家自然科学基金资助项目 编号10702065 11002055
关键词 广义哈密顿系统 完全同步 LYAPUNOV稳定性理论 双向耦合 generalized Hamiltonian system complete synchronization Lyapunov stability theory bidirectional coupling
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参考文献9

  • 1Boccaletti S, Kurths J, Osipov G, et al. The synchronization of chaotic systems[ J]. Physics Reports, 2002, 366:1 -101.
  • 2Shu Y L, Zhang A B, Tang B D. Switching among three different kinds of synchronization for delay chaotic systems [ J ]. Chaos, Solitons & Fractals, 2005, 23(2) : 563 -571.
  • 3Senthilkumar D V, Lakshmanan M. Transition from anticipatory to lag synchronization via complete synchronization in time-de- lay systems[J]. Phys Rev E, 2005, 71 : 016211.
  • 4王兴元,武相军.耦合发电机系统的自适应控制与同步[J].物理学报,2006,55(10):5077-5082. 被引量:12
  • 5陈菊芳,张入元,彭建华.脉冲驱动离散混沌系统同步的实验与理论研究[J].物理学报,2003,52(7):1589-1594. 被引量:25
  • 6关新平,何宴辉,范正平.扰动情况下一类混沌系统的观测器同步[J].物理学报,2003,52(2):276-280. 被引量:39
  • 7Sira-Ramirez H, Cruz-Hernandez C. Synchronization of chaotic systems: a generalized Hamihonian systems approach[ J]. Int J Bifurcat Chaos, 2001, 11 (5) : 1381 -1395.
  • 8Cruz-Hernandez C. Synchronization of time-delay Chua' s Oscillator with application to secure communication [ J ]. Nonlinear Dynamics and Systems Theory, 2004, 4( 1 ) : 1 - 14.
  • 9Mu X W, Pei L J. Synchronization of the near-identical chaotic systems with the unknown parameters[ J ]. Applied Mathemati- cal Modeling, 2010, 34(7): 1788- 1797.

二级参考文献43

  • 1[1]Pecora L M and Carroll T L 1990 Phys.Rev.Lett. 64 821
  • 2[3]Li Z and Han C Z 2002 Chin.Phys. 11 9
  • 3[6]Guan X P et al 2001 Acta Phys.Sin. 50 1670(in Chinese)[关新平等 2001 物理学报 50 1670]
  • 4[7]Guan X P et al 2001 Acta Phys.Sin. 50 2112(in Chinese)[关新平等 2001 物理学报 50 2112]
  • 5[8]Liu F et al 2001 Chin.Phys. 10 606
  • 6[9]Wang X F and Wang Z Q 1998 IEEE Trans.Circuits Sys. 45 1101
  • 7[10]Giuseppe G and Mascolo S 1999 Int.J.Bifurca.Chaos 9 1175
  • 8[11]Liao T L and Tsai S H 2000 Chaos Solitons and Fractals 11 1387
  • 9[13]Yang X S 2000 Acta Phys.Sin. 49 1919(in Chinese)[杨晓松 2000 物理学报 49 1919]
  • 10[15]Duan G R 1993 IEEE Trans.Auto.Con. 38 276

共引文献65

同被引文献18

  • 1禹东川,孟庆浩.不确定时变混沌系统的一种自适应无抖振变结构控制[J].物理学报,2005,54(3):1092-1097. 被引量:7
  • 2Gassara H, Hajjaji A, Chaabane M. Observer-based robust H∞ reliable control for uncertain T-S fuzzy systems with state time delay [ J ]. IEEE Transaction on Fuzzy Systems,2010,18 ( 6 ) : 1027 - 1040.
  • 3Pecora L M, Carroll T L. Synchronization in chaotic systems[ J ]. Phys Rev Lett ( S0031 - 9007), 1990, 64 (8) : 821 -824.
  • 4Pecora L M, Carroll T L. Driving systems with chaotic signals[J]. Phys Rev A (S0277-786X), 1991, 44 (4) : 2374 -2383.
  • 5Yoo W J, Ji D H, Won S C. Synchronization of two dif- ferent non - autonomous chaotic systems using fuzzy dis-turbance observer [ J]. Physics Letters A, 2009, 374 (11): 1354 -1361.
  • 6Fallahi K, Leung H A. Chaos secure communication scheme based on multiplication modulation [ J ], Com- munications in Nonlinear Science and Numerical Simu- lation, 2010, 15(2): 368-383.
  • 7Popp K, Steher P. Nonlinear oscillation of structures in- duced by dry friction[ C]. In: Schiehlen Wed. Non - linear Dynamics in Engineering Systems. New York: Springer, 1990.
  • 8吕翎,李钢,孟乐,杨明,郭丽,邹家蕊,李春清,柴元.单向链式网络的激光混沌同步[J].中国激光,2010,37(10):2533-2536. 被引量:14
  • 9吕翎,孟乐,郭丽,邹家蕊,杨明.激光时空混沌模型的加权网络投影同步[J].物理学报,2011,60(3):124-129. 被引量:11
  • 10卞秋香,姚洪兴.复杂网络的线性广义同步[J].系统工程理论与实践,2011,31(7):1334-1340. 被引量:24

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