Abstract

In this paper, we primarily investigate the adaptive modified function projective synchronization of a class of complex four-dimensional chaotic system with one cubic cross-product term in each equation. Based on the Lyapunov stability theory, the adaptive controllers are derived to make the complex chaotic system achieve modified function projective synchronization. Simulation results show this method can realize function projective synchronization asymptotically. Compared with modified projective synchronization, the adaptive modified function projective synchronization has better result and higher application value.

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