Please wait a minute...
Chin. Phys. B, 2010, Vol. 19(4): 040507    DOI: 10.1088/1674-1056/19/4/040507
GENERAL Prev   Next  

Synchronization of hyperchaotic Chen systems: a class of the adaptive control approach

Wei Wei(魏伟)a), Li Dong-Hai(李东海)b), and Wang Jing(王京)a)
a School of Information Engineering, University of Science and Technology Beijing, Beijing 100083, China; b State Key Lab of Power Systems, Department of Thermal Engineering, Tsinghua University, Beijing 100084, China
Abstract  The synchronization of hyperchaotic Chen systems is considered. An adaptive synchronization approach and a cascade adaptive synchronization approach are presented to synchronize a drive system and a response system. By utilizing an adaptive controller based on the dynamic compensation mechanism, exact knowledge of the systems is not necessarily required, and the synchronous speed is controllable by tuning the controller parameters. Sufficient conditions for the asymptotic stability of the two synchronization schemes are derived. Numerical simulation results demonstrate that the adaptive synchronization scheme with four control inputs and the cascade adaptive synchronization scheme with only one control signal are effective and feasible in chaos synchronization of hyperchaotic systems.
Keywords:  hyperchaotic Chen systems      adaptive synchronization      cascade adaptive synchronization      synchronous speed  
Received:  12 November 2009      Revised:  10 December 2009      Accepted manuscript online: 
PACS:  05.45.Xt (Synchronization; coupled oscillators)  
  05.45.Gg (Control of chaos, applications of chaos)  
  05.45.Pq (Numerical simulations of chaotic systems)  
Fund: Project supported by the National Basic Research Program of China (Grant No. 2007CB210106).

Cite this article: 

Wei Wei(魏伟), Li Dong-Hai(李东海), and Wang Jing(王京) Synchronization of hyperchaotic Chen systems: a class of the adaptive control approach 2010 Chin. Phys. B 19 040507

[1] Zhang S H and Shen K 2002 Chin. Phys. 11 894
[2] Nagumo J, Arimoto S and Yoshizawa S 1962 Proc IRE. 50 2061
[3] Gong P L and Xu J X 2001 Phys. Rev. E 63 031906
[4] Nozaki D and Yamamoto Y 1998 Phys. Lett. A 243 281
[5] Pikovsky A S and Kurths J 1997 Phys. Rev. E 78 775
[6] Horikawa Y 2001 Phys. Rev. E 64 031950
[7] Escalona J, Santos G J E and Parmananda P 2007 Phys. Rev. E 76 016213
[8] Li X M, Wang J and Hu W H 2007 Phys. Rev. E 76 041902
[9] Gassel M, Glatt E and Kaiser F 2007 Phys. Rev. E 76 016203
[10] Zhou C S, Kurths J and Hu B 2003 Phys. Rev. E 67 030101
[11] Shinohara Y, Kanamaru T, Suzuki H, Horita T and Aihara K 2002 Phys. Rev. E 65 051906
[12] Cubero D, Baltan J P and Casado-Pascual J 2006 Phys. Rev. E 73 061102
[13] Deng B, Wang J and Wei X L 2009 Chaos 19 013117
[14] Kinouchi O and Copelli M 2006 Nature Phys. 2 348
[15] Ribeiro T L and Copelli M 2008 Phys. Rev. E 77 051911
[16] Perc M 2007 Phys. Rev. E 76 066203
[17] Ozer M, Perc M and Uzuntarla M 2009 Phys. Lett. A 373 964
[18] Kwon O and Moon H T 2002 Phys. Lett. A 298 319
[19] Kwon O, Jo H H and Moon H T 2005 Phys. Rev. E 72 066121
[20] Jiang M and Ma P 2009 Chaos 19 013115
[21] Wu W, Wheeler D W, Staedler E S, Munk M H J and Pipa G 2008 Neuro Rep. 19 235
[22] Egu{í}luz V M, Chialvo D R, Cecchi G A, Baliki M and Apkarian A V 2005 Phys. Rev. Lett.94 018102
[23] Kaiser M, Martin R, Andras P and Young M P 2007 Eur. J. Neurosci. 25 3185
[24] Wu A C, Xu X J and Wang Y H 2007 Phys. Rev. E 75 032901
[25] Copelli M and Campos P R A 2007 Eur. Phys. J. B 56 273
[26] Kandel E R, Schwartz J H and Jessell T M 1991 Principles of Neural Science] (Amsterdam: Elsevier)
[27] Wang Q Y and Lu Q S 2005 Chin. Phys. Lett. 22 543
[28] Rossoni E, Chen Y H, Ding M Z and Feng J F 2005 Phys. Rev. E 71 061904
[29] Wang Q Y, Duan Z S, Perc M and Chen G R 2008 Europhys. Lett. 78 50008
[30] Vicente R, Golo L L, Mirasso C R, Fischer I and Pipa G 2008 Proc. Nat. Acad. Sci.} USA 105 17157
[31] Barabási A L and Albert R 1999 Science 286 509
[32] Du L C and Mei D C 2009 Chin. Phys. B 18 946
[33] Perc M and Marhl M 2005 Phys. Rev. E 71 026229
[1] Adaptive synchronization of a class of fractional-order complex-valued chaotic neural network with time-delay
Mei Li(李梅), Ruo-Xun Zhang(张若洵), and Shi-Ping Yang(杨世平). Chin. Phys. B, 2021, 30(12): 120503.
[2] Adaptive synchronization of chaotic systems with less measurement and actuation
Shun-Jie Li(李顺杰), Ya-Wen Wu(吴雅文), and Gang Zheng(郑刚). Chin. Phys. B, 2021, 30(10): 100503.
[3] Adaptive H synchronization of chaotic systems via linear and nonlinear feedback control
Fu Shi-Hui(付士慧), Lu Qi-Shao(陆启韶), and Du Ying(杜莹) . Chin. Phys. B, 2012, 21(6): 060507.
[4] Adaptive synchronization of uncertain chaotic systems via switching mechanism
Feng Yi-Fu(冯毅夫) and Zhang Qing-Ling(张庆灵). Chin. Phys. B, 2010, 19(12): 120504.
[5] Synchronization and parameter identification of one class of realistic chaotic circuit
Wang Chun-Ni(王春妮), Ma Jun(马军), Chu Run-Tong(褚润通), and Li Shi-Rong(李世荣). Chin. Phys. B, 2009, 18(9): 3766-3771.
[6] Adaptive synchronization in an array of asymmetric coupled neural networks
Gao Ming(高明) and Cui Bao-Tong (崔宝同). Chin. Phys. B, 2009, 18(1): 76-83.
[7] Breaking chaotic shift key communication via adaptive key identification
Ren Hai-Peng(任海鹏), Han Chong-Zhao(韩崇昭), and Liu Ding(刘丁) . Chin. Phys. B, 2008, 17(4): 1202-1208.
[8] Adaptive coupled synchronization of non-autonomous systems in ring networks
Guo Liu-Xiao(过榴晓), Xu Zhen-Yuan(徐振源), and Hu Man-Feng(胡满峰). Chin. Phys. B, 2008, 17(3): 836-841.
[9] Adaptive synchronization of uncertain Liu system via nonlinear input
Hu Jia(胡佳) and Zhang Qun-Jiao(张群娇) . Chin. Phys. B, 2008, 17(2): 503-506.
[10] Robust adaptive synchronization of chaotic neural networks by slide technique
Lou Xu-Yang(楼旭阳) and Cui Bao-Tong(崔宝同). Chin. Phys. B, 2008, 17(2): 520-528.
[11] Adaptive generalized functional synchronization of chaotic systems with unknown parameters
Wang Dong-Feng(王东风) and Han Pu(韩璞). Chin. Phys. B, 2008, 17(10): 3603-3608.
[12] Adaptive synchronization of a critical chaotic system
Tu Li-Lan (涂俐兰), Lu Jun-An (陆君安). Chin. Phys. B, 2005, 14(9): 1755-1759.
[13] Adaptive synchronization with nonlinear input
Zhang Xin-Ying (张新莹), Guan Xin-Ping (关新平), Li Hui-Guang (李惠光). Chin. Phys. B, 2005, 14(2): 279-284.
[14] Adaptive synchronization of Rossler and Chen chaotic systems
Li Zhi (李智), Han Chong-Zhao (韩崇昭). Chin. Phys. B, 2002, 11(7): 666-669.
No Suggested Reading articles found!