Hybrid function projective synchronization of chaotic systems via adaptive control

In this manuscript, hybrid function projective synchronization of Bhalekar–Gejji and Pehlivan chaotic systems is established by applying adaptive control technique where the system parameters are unknown. In this manuscript both the master and slave system are chosen in such a way that none of them can be derived from the member of the unified chaotic system. We construct an adaptive controller in such a manner that master and slave system attain global chaos synchronization. The results derived for the synchronization have been established using adaptive control theory and Lyapunov stability theory. Fundamental dynamical properties of both the chaotic systems are also described. The results are validated by numerical simulation which are performed by using Matlab.

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