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ACTIVE CONTROLLER DESIGN FOR THE HYBRID SYNCHRONIZATION OF HYPERCHAOTIC XU AND HYPERCHAOTIC LI SYSTEMS

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International Journal of Information Technology, Modeling and Computing (IJITMC), 1 (2): 01-15 (мая 2013)
DOI: 10.5121/ijitmc.2013.1203

Аннотация

The synchronization of chaotic systems treats a pair of chaotic systems, which are usually called as master and slave systems. In the chaos synchronization problem, the goal of the design is to synchronize the states of master and slave systems asymptotically. 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. This research work deals with the hybrid synchronization of hyperchaotic Xi systems (2009) and hyperchaotic Li systems (2005). The main results of this hybrid research work are established with Lyapunov stability theory. MATLAB simulations of the hybrid synchronization results are shown for the hyperchaotic Xu and Li systems.

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