Vaidyanathan, Sundarapandian
April 2013
International Journal of Advanced Information Technology;Apr2013, Vol. 3 Issue 2, p17
Academic Journal
This paper derives new adaptive results for the hybrid synchronization of hyperchaotic Xi systems (2009) and hyperchaotic Li systems (2005). In the hybrid synchronization design of master and slave systems, one part of the systems, viz. their odd states, are completely synchronized (CS), while the other part, viz. their even states, are completely anti-synchronized (AS) so that CS and AS co-exist in the process of synchronization. The research problem gets even more complicated, when the parameters of the hyperchaotic systems are unknown and we tackle this problem using adaptive control. The main results of this research work are proved using adaptive control theory and Lyapunov stability theory. MATLAB simulations using classical fourth-order Runge-Kutta method are shown for the new adaptive hybrid synchronization results for the hyperchaotic Xu and hyperchaotic Li systems.


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