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Projective synchronization for unified hyperchaotic system

Wang Xing-Yuan Abdurahman Kadir Zhao Yu-Zhang

Projective synchronization for unified hyperchaotic system

Wang Xing-Yuan, Abdurahman Kadir, Zhao Yu-Zhang
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  • Abstract views:  3347
  • PDF Downloads:  938
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  • Received Date:  16 March 2010
  • Accepted Date:  07 July 2010
  • Published Online:  15 April 2011

Projective synchronization for unified hyperchaotic system

  • 1. (1)Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China; (2)Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, Dalian 116024, China;School of Computer Science and Engineering, Xinjiang University of Finance and Economics, Urumchi 830012, China; (3)School of Computer Science and Engineering, Xinjiang University of Finance and Economics, Urumchi 830012, China

Abstract: The projective synchronization in the unified hyperchaotic system using two control method is studied in this paper. Based on the Lyapunov stability theory, the full state hybrid projective synchronization is achieved via an adaptive controller. It is proved theoretically that the controller can make the states of the dynamical system and the response system with known parameters achieve the asymptotically full state hybrid projective synchronization. An active controller is designed to achieve the projective synchronization. Finally, Numerical simulations show the effectiveness of the two schemes.

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