Generalized projective synchronization between two chaotic gyros with nonlinear damping

doi:10.1088/1674-1056/20/10/100503

中国物理B ›› 2011, Vol. 20 ›› Issue (10): 100503-100503.doi: 10.1088/1674-1056/20/10/100503

Generalized projective synchronization between two chaotic gyros with nonlinear damping

闵富红

Department of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210042, China

收稿日期:2011-06-13 修回日期:2011-06-15 出版日期:2011-10-15 发布日期:2011-10-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 51075275) and the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 08kJB510006).

Generalized projective synchronization between two chaotic gyros with nonlinear damping

Min Fu-Hong(闵富红)^†

Department of Electrical and Automation Engineering, Nanjing Normal University, Nanjing 210042, China

Received:2011-06-13 Revised:2011-06-15 Online:2011-10-15 Published:2011-10-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 51075275) and the Natural Science Foundation of the Jiangsu Higher Education Institutions of China (Grant No. 08kJB510006).

摘要/Abstract

摘要： In this paper, the chaotic generalized projective synchronization of a controlled, noised gyro with an expected gyro is investigated by a simple control law. Based on the theory of discontinuous dynamical systems, the necessary and sufficient conditions for such a synchronization are achieved. From such conditions, non-synchronization, partial and full synchronizations between the two coupled gyros are discussed. The switching scenarios between desynchronized and synchronized states of the two dynamical systems are shown. Numerical simulations are illustrated to verify the effectiveness of this method.

Abstract: In this paper, the chaotic generalized projective synchronization of a controlled, noised gyro with an expected gyro is investigated by a simple control law. Based on the theory of discontinuous dynamical systems, the necessary and sufficient conditions for such a synchronization are achieved. From such conditions, non-synchronization, partial and full synchronizations between the two coupled gyros are discussed. The switching scenarios between desynchronized and synchronized states of the two dynamical systems are shown. Numerical simulations are illustrated to verify the effectiveness of this method.

Key words: generalized projective synchronization, gyro systems, discontinuous dynamical system, switching scenarios

中图分类号: (Low-dimensional chaos)

05.45.Ac

05.45.Xt (Synchronization; coupled oscillators) 05.45.Pq (Numerical simulations of chaotic systems)

闵富红. Generalized projective synchronization between two chaotic gyros with nonlinear damping[J]. 中国物理B, 2011, 20(10): 100503-100503.

Min Fu-Hong(闵富红) . Generalized projective synchronization between two chaotic gyros with nonlinear damping[J]. Chin. Phys. B, 2011, 20(10): 100503-100503.

参考文献 16

[1]	Pecora L M and Carroll T L 1990 Phys. Rev. Lett. 64 821
[2]	Chen G R and Dong X N 1998 From Chaos to Order: Perspectives, Methodologies and Applications (Singapore: World Scientific)
[3]	Zhang H G, Liu D R and Wang Z L 2009 Controlling Chaos: Suppression, Synchronization, and Chaotification (New York: Springer)
[4]	Zhang H G, Huang W, Wang Z L and Chai T Y 2006 Phys. Lett. A 350 363
[5]	Dai H, Jia L X, Hui M and Si G Q 2011 Chin. Phys. B 20 040507
[6]	Min F H and Wang E R 2010 Acta Phys. Sin. 59 7657 (in Chinese)
[7]	Sun Y P, Li J M, Wang J A and Wang H L 2010 Chin. Phys. B 19 020505
[8]	Lei Y M, Xu W and Zheng H C 2005 Phys. Lett. A 343 153
[9]	Yan J J, Hung M L and Liao T L 2006 J. Sound and Vibration 298 298
[10]	Salarieh H and Alasty A 2008 J. Sound and Vibration 313 760
[11]	Yau H T 2008 Mech. Sys. Sign. Proce. 22 408
[12]	Luo A C J 2009 Comm. Nonlinear Sci. Numer. Simul. 14 1901
[13]	Luo A C J 2009 Discontinuous Dynamical Systems on Time-varying Domains (Dordrecht: HEP-Springer)
[14]	Chen H K 2002 J. Sound and Vibration 255 719
[15]	Chen H K and Lin T N 2003 Proceedings of the Institution Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 217 331
[16]	Dooren, R V 2003 J. Sound and Vibration 268 632

Generalized projective synchronization between two chaotic gyros with nonlinear damping

Generalized projective synchronization between two chaotic gyros with nonlinear damping

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