ACTIVE CONTROLLER DESIGN FOR THE HYBRIDSYNCHRONIZATION OF HYPERCHAOTIC ZHENG AND HYPERCHAOTIC YU SYSTEMS
International Journal on Soft Computing, Artificial Intelligence and Applications (IJSCAI), 2 (2):
17 (April 2013)DOI: 10.5121/ijscai.2013.2202
Abstract
This paper deals with a new research problem in the chaos literature, viz. hybrid synchronization of a
pair of chaotic systems called the master and slave systems. 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 coexist
in the process of synchronization. This research work deals with the hybrid synchronization of
hyperchaotic Zheng systems (2010) and hyperchaotic Yu systems (2012). The main results of this hybrid
synchronization research work have been proved using Lyapunov stability theory. Numerical examples of
the hybrid synchronization results are shown along with MATLAB simulations for the hyperchaotic
Zheng and hyperchaotic Yu systems.