Function projective synchronization in chaotic and hyperchaotic systems through OPCL coupling
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چکیده
Open-plus-closed-loop(OPCL) control method is a more general and physically realizable coupling scheme that can provide stable CS(complete synchronization) and AS(anti-synchronization) in identical and mismatched oscillators. Grosu et. al,[111, 112] recently reported projective synchronization in chaotic systems through open-plus-closed-loop(OPCL) coupling. Hyperchaotic systems possessing at least two positive Lyapunov exponents have more complex behaviour and abundant dynamics than chaotic systems and are more suitable for some engineering applications such as secure communication. Hence how to realize synchronization of hyperchaotic systems through OPCL method is an interesting question. In this chapter, we propose a physically realizable coupling function through unidirectional OPCL coupling for the FPS of chaotic as well as more complex hyperchaotic systems.
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