Abstract

A practical synchronization approach is proposed for a class of fractional-order chaotic systems to realize perfect $$\delta $$ -synchronization, and the nonlinear functions in the fractional-order chaotic systems are all polynomials. The $$\delta $$ -synchronization scheme in this paper means that the origin in synchronization error system is stable. The reliability of $$\delta $$ -synchronization has been confirmed on a class of fractional-order chaotic systems with detailed theoretical proof and discussion. Furthermore, the $$\delta $$ -synchronization scheme for the fractional-order Lorenz chaotic system and the fractional-order Chua circuit is presented to demonstrate the effectiveness of the proposed method.

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