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

• GENERAL • 上一篇    下一篇

Generalized projective synchronization between two chaotic gyros with nonlinear damping

闵富红   

  1. 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)   

  1. 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: 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)