[1]闵富红,王执铨,吴薛红.超混沌系统反馈控制耦合同步[J].南京师范大学学报(工程技术版),2007,07(03):006-12.
 Min Fuhong,Wang Zhiquan,et al.Coupled Synchronization for Feedback Control Hyper-chaotic Systems[J].Journal of Nanjing Normal University(Engineering and Technology),2007,07(03):006-12.
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超混沌系统反馈控制耦合同步
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南京师范大学学报(工程技术版)[ISSN:1006-6977/CN:61-1281/TN]

卷:
07卷
期数:
2007年03期
页码:
006-12
栏目:
出版日期:
2007-09-30

文章信息/Info

Title:
Coupled Synchronization for Feedback Control Hyper-chaotic Systems
作者:
闵富红1 2 王执铨2 吴薛红1
1. 南京师范大学电气与自动化工程学院, 江苏南京210042; 2. 南京理工大学自动化学院, 江苏南京210094
Author(s):
Min Fuhong12Wang Zhiquan2Wu Xuehong1
1.School of Electrical and Automation Engineering,Nanjing Normal University,Nanjing 210042,China;2.School of Automation,Nanjing University of Science and Technology,Nanjing 210094,China
关键词:
最大Lyapunov指数 线性反馈耦合同步 超混沌系统 耦合系数
Keywords:
the largest Lyapunov exponent linearly coupled chao s synchron ization hyper-chao tic sy stem the coup ling coeffic ients
分类号:
TP13
摘要:
基于混沌系统的最大Lyapunov指数与耦合同步增益的关系,确定一大类混沌系统的线性耦合同步时,反馈控制系数需要满足的取值范围,该种新型的判别方法简单而且在工程上易于实现.由于超混沌系统在保密通信中具有更强的抗破译能力,因而考虑以超混沌Chen系统以及超混沌Q i系统为例,数值模拟结果验证了该方法的有效性以及普适性.
Abstract:
Based on the re lation betw een the la rgest Lyapunov exponen t of chaos system s and the contro l coe fficients through linea r feedback contro lled, some new su ffic ient conditions o f stability for linearly coup led chao tic synchron ization are attained. This w ork is applied to attain chaos synchron ization fo r two identical new hyper-chao tic Chen system s and for tw o identical new hyper- chaotic system s w ith any initial conditions. Num erical s imu lations are shown to verify the e ffectiveness o f the chaos synchroniza tion m ethod.

参考文献/References:

[ 1] Pecora L M, CarrollT L. Synchron ization in chao tic sy stem s[ J]. Phys Rev Lett, 1990, 64( 8): 821-824.
[ 2] Pa rk J H. Stability cr iter ion for synchron ization of linearly coupled un ified chaotic system s[ J] . Chaos, So litons and Fracta ls, 2005, 23( 5): 1 319-1 325.
[ 3] L iD M, Lu JA, Xu X Q. Linear ly coupled synchron ization o f the un ified chao tic system s and theLorenz system s[ J]. Chaos, So litons and Fractals, 2005, 23( 1) : 79-85.
[ 4] L J, Zhou T, Zhang S. Chaos synchron ization between linear ly coup led chao tic system s[ J]. Chao s, So litons and Fractals, 2002, 14( 4): 529-541.
[ 5] 闵富红, 王执铨. 统一混沌系统的耦合同步[ J]. 物理学报, 2005, 54( 9): 4 026-4 030.
M in Fuhong, W ang Zh iquan. Coupled synchron ization of the un ified chaotic sy stem [ J]. Acta Physica S in ica, 2005, 54( 9): 4 026-4 030.
[ 6] Zhou J, Lu J A, W u X Q. L inearly and nonlinea rly b id irectiona lly coupled synchron ization of hyperchaotic system s[ J] . Chaos, Solitions and Fracta ls, 2007, 31( 1): 230-235.
[ 7] Ba i EW, Lonng ren K E. Synchron iza tion o f tw o Lo renz system s us ing ac tive contro l[ J]. Chaos, So litons and Fracta ls, 1997, 8( 1): 51-58.
[ 8] Le iYM, XuW, ZhengH C. Synchron ization o f two chaotic non linear gy ros using ac tive contro l[ J] . Physics Letters A, 2005, 343( 2): 153-158.
[ 9] YassenM T. Adaptive chaos con tro l and synchron ization fo r uncerta in new chao tic dynam ical system [ J] . Physics Letters A, 2006, 350( 1): 36-43.
[ 10] Zhang H G, H uangW, W ang Z L, e t a.l Adaptive synchon ization between tw o d ifferent chao tic system s w ith unknown paramete rs[ J]. Physics Letters A, 2006, 350( 5): 363-366.
[ 11] L iY, L iao X F, L i C D, et a.l Im pu lsive contro l for synchroniza tion of a nonlinear Rossle r’ s chaotic system s[ J]. Ch in Phys, 2006, 15( 12): 2 883-2 889.
[ 12] Yang ZH, Yao Q H. S tudy on a new estim ation m ethod of the largest Lyapunov exponent of chao tic sy stem s[ J]. Com puting Techno logy and Automa tion, 2005, 24( 1): 31-33.
[ 13] L iY X, Tang S, Chen G R. Generating hyperchaos v ia state feedback con tro l[ J]. In t J B ifurcat Chaos, 2005, 15 ( 10): 3 367-3 375.
[ 14] W ang J Z, Chen Z Q, Yuan Z Z. The gene ration o f a hyperchao tic system based on a th ree dim ensional autonom ous chao tic sy stem [ J]. Ch inese Phy sics, 2006, 15( 6) : 1 216-1 225.

备注/Memo

备注/Memo:
基金项目: 国家自然科学基金( 60174005)、江苏省自然科学基金( BK2001054)资助项目.
作者简介: 闵富红( 1970-) , 女, 讲师, 博士研究生, 主要从事混沌同步与控制的教学与研究. E-m ail:m in fuhong@ n jnu. edu. cn
通讯联系人: 王执铨( 1939-) , 教授, 博士生导师, 主要从事动态大系统的建模、信息安全以及混沌控制的研究.E-m ail: w hzw zq@ m ail.n just. edu. cn
更新日期/Last Update: 2013-06-04