Modified projective synchronization and control of complex Chen and Lu systems

作者：Mahmoud Gamal M^*; Ahmed Mansour E

来源：Journal of Vibration and Control, 2011, 17(8): 1184-1194.

DOI：10.1177/1077546310378871

• Attractors
• chaos control
• chaotic system
• complex
• Lyapunov exponents
• Lyapunov function
• modified synchronization

In this paper we present a modified projective synchronization of complex Chen and Lu systems which were introduced recently in our work. These complex systems appear in many important fields of physics and engineering, for example, laser physics, nonlinear circuits and secure communication. The active control technique based on a Lyapunov function is used to synchronize the chaotic attractors of both identical and different systems. Controlling these attractors is investigated by adding a complex periodic forcing. The control performances are verified by calculating Lyapunov exponents. Numerical computations are presented to verify our analytical results for control functions to achieve the modified projective synchronization.

• 出版日期2011-7