Adaptive anti-synchronization of two identical and different hyperchaotic systems with uncertain parameters

作者：Al Sawalha M Mossa^*; Noorani M S M

来源：Communications in Nonlinear Science & Numerical Simulation, 2010, 15(4): 1036-1047.

DOI：10.1016/j.cnsns.2009.05.037

• Hyperchaotic Lu system
• Hyperchaotic Chen system
• Anti-synchronization
• Adaptive control
• Unknown parameters

This paper brings attention to hyperchaos anti-synchronization between two identical and different hyperchaotic systems by using adaptive control. The sufficient conditions for achieving the anti-synchronization of two hyperchaotic systems are derived based on Lyapunov stability theory. An adaptive control law and a parameter update rule for unknown parameters are introduced such that the hyperchaotic Chen system is controlled to be the hyperchaotic Lu system. Theoretical analysis and numerical simulations are shown to verify the results.

• 出版日期2010-4