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Web of Proceedings - Francis Academic Press
Web of Proceedings - Francis Academic Press

Synchronization of a Nonlinear Dynamical System with Fractional Orders

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DOI: 10.25236/iccse.18.025

Author(s)

Xuefeng Liang, Xiaojun Liu

Corresponding Author

Xuefeng Liang

Abstract

In this paper, the dynamics of a new fractional-order system is investigated. Firstly, the numerical solutions of the system by the improved predictor-corrector algorithm are obtained. Based on this, the dynamics of the system is analyzed by numerical simulations. A chaotic attractor and periodic orbits with different values of the derivative order or the system parameter are demonstrated.

Keywords

Fractional-Order System, Synchronization, Chaos