KONG De-fu
(College of science， Tianjin University of Technology and Education， Tianjin 300222， China)
【Abstract】In this paper, projective synchronization of one fractional-order chaotic system is studied. Firstly, the chaotic attractor is given. Then, suitable projective synchronization controllers are investigated based on the Lyapunov stability theory. Finally, the numerical simulations verify the validity and correction of the method.
【Key words】Fractional-order chaotic system; Projective synchronization; Controller
0Introduction
Chaos synchronization have received lots of attention in last few decades due to its potential applications in chemical reactions, biological systems, information processing, secure communications, etc[-5]. Many methods and techniques have been developed, such as OGY method[6], PC method[7-8], feedback approach, adaptive method and backstepping design technique, etc. In this work projective synchronization of one fractional-order chaotic system is investigated. A reasonable controller is designed and proved by Lyapunov stability theory. At last, numerical simulation coincide with the theoretical analysis.
１System description
where x，y，z are the state variables. The chaotic attractors of the system for the order of derivative q=0.98 are displayed through Fig.1 for the parameters，values ɑ=100, b=0.1, c=1.6, d=200.
４Conclusion
In this letter, projective synchronization of one fractional-order chaotic system is presented, and the chaotic attractor is given. Besides, suitable synchronization controllers are investigated by using the Lyapunov stability theory. Numerical simulations are performed to verify these results.
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