Synchronization of a critical chaotic system with Lorenz system and Chen system

Ning Di; Lu Jun-An

doi:10.7498/aps.54.4590

Abstract
A nonlinear feedback controller is designed to make the first state of a new chaotic system track an arbitrary smooth reference signal at an exponential rate. In addition, Chaos synchronization between two different chaotic systems by using active control is presented. This technique is applied to achieve chaos synchronization between the critical system, Lorenz system and Chen system. Numerical simulations are madc to verify the results.

Keywords:
tracking control /

synchronization /

chaotic system
Authors and contacts
Ning Di,

Lu Jun-An

1.
武汉大学数学与统计学院，武汉 430072
References

Cited By

[1]	Li Chun-Lai, Yu Si-Min. A new hyperchaotic system and its adaptive tracking control. Acta Physica Sinica, 2012, 61(4): 040504. doi: 10.7498/aps.61.040504
[2]	Li Nong, Li Jian-Fen, Liu Yu. Tracking control and parameters identification of a class of chaotic systems with unknown parameters. Acta Physica Sinica, 2011, 60(5): 050507. doi: 10.7498/aps.60.050507
[3]	Zhou Ping, Kuang Fei. Synchronization between fractional-order chaotic system and chaotic system of integer orders. Acta Physica Sinica, 2010, 59(10): 6851-6858. doi: 10.7498/aps.59.6851
[4]	Min Fu-Hong, Yu Yang, Ge Cao-Jun. Circuit implementation and tracking control of the fractional-order hyper-chaotic Lü system. Acta Physica Sinica, 2009, 58(3): 1456-1461. doi: 10.7498/aps.58.1456
[5]	Li Chun-Lai, Luo Xiao-Shu. Tracking control and projective synchronization in the fifth-order hyperchaotic circuit system based on accelerated factor. Acta Physica Sinica, 2009, 58(6): 3759-3764. doi: 10.7498/aps.58.3759
[6]	Liu Fu-Cai, Song Jia-Qiu. Anti-synchronizing different chaotic systems using active sliding mode control. Acta Physica Sinica, 2008, 57(8): 4729-4737. doi: 10.7498/aps.57.4729
[7]	Min Fu-Hong, Wang Zhi-Quan. Generalized projective synchronization and tracking control of complex Dynamos systems. Acta Physica Sinica, 2008, 57(1): 31-36. doi: 10.7498/aps.57.31
[8]	Zhou Ping. Synchronization for a class of chaotic systems via scalar controller. Acta Physica Sinica, 2007, 56(7): 3777-3781. doi: 10.7498/aps.56.3777
[9]	. Controlling projective synchronization in coupled fractional order chaotic Chen system. Acta Physica Sinica, 2007, 56(12): 6815-6819. doi: 10.7498/aps.56.6815
[10]	Luo Run-Zi. Impulsive control and synchronization of a new chaotic system. Acta Physica Sinica, 2007, 56(10): 5655-5660. doi: 10.7498/aps.56.5655
[11]	. Tracking control of Lorenz systems in unidirectional coupling network. Acta Physica Sinica, 2007, 56(12): 6851-6856. doi: 10.7498/aps.56.6851
[12]	Chen Long, Wang De-Shi. Adaptive tracking control of the Chen system. Acta Physica Sinica, 2007, 56(10): 5661-5664. doi: 10.7498/aps.56.5661
[13]	Zhang Cheng-Fen, Gao Jin-Feng, Xu Lei. Chaos in fractional-order Liu system and a fractional-order unified system and the synchronization between them. Acta Physica Sinica, 2007, 56(9): 5124-5130. doi: 10.7498/aps.56.5124
[14]	Wu Xiang-Jun, Wang Xing-Yuan. Chaos synchronization of the new hyperchaotic Chen system via nonlinear control. Acta Physica Sinica, 2006, 55(12): 6261-6266. doi: 10.7498/aps.55.6261
[15]	Li Jian-Fen, Lin Hui, Li Nong. Chaotic synchronization with diverse structures based on tracking control. Acta Physica Sinica, 2006, 55(8): 3992-3996. doi: 10.7498/aps.55.3992
[16]	Gao Tie-Gang, Chen Zeng-Qiang, Yuan Zhu-Zhi. Robust finite time synchronization of chaotic systems. Acta Physica Sinica, 2005, 54(6): 2574-2579. doi: 10.7498/aps.54.2574
[17]	Wang Xing-Yuan, Shi Qi-Jiang. Tracking control and synchronization of the R?ssler's chaotic system. Acta Physica Sinica, 2005, 54(12): 5591-5596. doi: 10.7498/aps.54.5591
[18]	Li Shi-Hua, Cai Hai-Xing. Research on circuitry realization and synchronization of Chen chaotic systems. Acta Physica Sinica, 2004, 53(6): 1687-1693. doi: 10.7498/aps.53.1687
[19]	Lu Zhi-Gang, Yu Ling-Hui, Liu Xiao-Jing, Gao Mei-Jing, Wu Shi-Chang. . Acta Physica Sinica, 2002, 51(10): 2211-2215. doi: 10.7498/aps.51.2211
[20]	LI LI-XIANG, PENG HAI-PENG, LU HUI-BIN, GUAN XIN-PING. CONTROL AND SYNCHRONIZATION OF HéNON CHAOTIC SYSTEM. Acta Physica Sinica, 2001, 50(4): 629-632. doi: 10.7498/aps.50.629

Catalog

Vol. 54, Issue 10 - 2005-05-20

Metrics

Abstract views: 8341
PDF Downloads: 1437
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

Synchronization of a critical chaotic system with Lorenz system and Chen system

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

Synchronization of a critical chaotic system with Lorenz system and Chen system

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About