Hybrid projective synchronization in identical hyperchaotic systems using active control

In this manuscript, a systematic procedure for investigating hybrid projective synchronization (HPS) scheme in two identical hyperchaotic systems has been designed. Based on Lyapunov stability theory (LST), an active control technique (ACT) has been presented to achieve the desired HPS scheme. The considered HPS scheme is a significant scheme for synchronization as it includes anti-synchronization, complete synchronization, projective synchronization and hybrid synchronization as its particular cases. Moreover, computer simulations are implemented to validate the efficacy and feasibility of the considered approach by using MATLAB. Remarkably, the analytic and computational results are in complete agreement. Also, the considered HPS scheme is very efficient as it has numerous applications in image encryption and secure communication.

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