Different-Lags Synchronization in Time-Delay and Circuit Simulation of Fractional-Order Chaotic System Based on Parameter Identification

In this paper, the authors construct a novel four-dimensional fractional-order chaotic system. It verifies chaotic non-linear dynamic behaviors and physical reliability by numerical simulation and hardware circuit design. It proves that the drive system and the response system tend to be synchronized and identified parameter when the control parameter matrix K satisfies the condition that K-nE is a positive definite matrix. Simulation results show physical reliability of the fractional-order different-lags chaotic system and verify effectiveness of different-lags synchronization in time-delayed system method design.

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