Generalized Synchronization of Diverse Structure Chaotic Systems
KADIR Abdurahman1,2, WANG Xing-Yuan1**, ZHAO Yu-Zhang2
1Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024 2 School of Engineering & Computer Science, Xinjiang University of Finance and Economics, Urumqi 830012
Generalized Synchronization of Diverse Structure Chaotic Systems
KADIR Abdurahman1,2, WANG Xing-Yuan1**, ZHAO Yu-Zhang2
1Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024 2 School of Engineering & Computer Science, Xinjiang University of Finance and Economics, Urumqi 830012
摘要Generalized synchronization between two diverse structures of chaotic systems possesses significance in the research of synchronization. We propose an approach based on the Lyapunov stability theory to study it. This method can be used widely. Numerical examples are given to demonstrate the effectiveness of this approach.
Abstract：Generalized synchronization between two diverse structures of chaotic systems possesses significance in the research of synchronization. We propose an approach based on the Lyapunov stability theory to study it. This method can be used widely. Numerical examples are given to demonstrate the effectiveness of this approach.
[1] Ekert A and Jozsa R 1995 Rev. Mod. Phys. 68 733
Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821
[2] Pecora L M and Carroll T L 1991 Phys. Rev. A 44 2374
[3] Cuomo K M and Oppenheim A V 1993 Phys. Rev. Lett. 71 65
[4] Miller P and Wang X J 2006 Chaos 16 026109
[5] Earn D J D, Levin S A and Rohani P 2000 Science 290 1360
[6] Rulkov N F, Afraimovich V S, Lewis C T, Chazottes J and Cordonet A 2001 Phys. Rev. E 64 016217
[7] Boccaletti S, Kurths J, Osipov G, Valladares D L and Zhou C S 2002 Phys. Rep. 3661
[8] Choi M, Volodchenko K V, Rim S, Kye W H, Kim C M, Park Y J and Kim G U 2003 Opt. Lett. 28 101
[9] Pikovsky A S 1992 Phys. Lett. A 165 33
[10] Hunt B R, Ott E and Yorke J A 1997 Phys. Rev. E 55 4029
[11] Yan Z Y 2005 Chaos 15 1310
[12] Grassi G and Miller D A 2002 IEEE Trans. Systems, Circuits And Systems I 49 373
[13] Lü J H and Chen G R 2002 Int. J. Bifur. Chaos 12 659
[14] Rössler O E 1979 Phys. Lett. A 71 155
2011, Vol. 28 
