具有非线性时滞项的分数阶混沌系统ADM求解与动力学分析

Journal of Jilin University Science Edition ›› 2022, Vol. 60 ›› Issue (2): 432-438.

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ADM Solution and Dynamic Analysis of Fractional-Order Chaotic System with Nonlinear Delay

FU Haiyan¹, LEI Tengfei¹, HE Jinman²， ZANG Hongyan¹

1. School of Mechanical and Electrical Engineering, Qilu Institute of Technology, Jinan 250200, China；
2. School of Science, Zhongyuan University of Technology, Zhengzhou 450007, China

Received:2021-03-31 Online:2022-03-26 Published:2022-03-26

Abstract

Abstract: We proposed a fractional-order Lü chaotic system with nonlinear delay term according to the fractional-order Lü chaotic system. Firstly, the fractional-order Lü chaotic system was numerically solved by Adomian-decompositio-method (ADM). Secondly, the phase trajectory diagram of the system was drawn by MATLAB software. Finally, by using simulation technology and dynamic analysis tools such as bifurcation diagram, complexity and phase trajectory, the effect of system parameters on the system was analyzed. The numerical simulation results show that the system has rich dynamic characteristics.

Key words: fractional-order, delay, chaos, complexity

CLC Number:

O411

FU Haiyan, LEI Tengfei, HE Jinman, ZANG Hongyan. ADM Solution and Dynamic Analysis of Fractional-Order Chaotic System with Nonlinear Delay[J].Journal of Jilin University Science Edition, 2022, 60(2): 432-438.

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ADM Solution and Dynamic Analysis of Fractional-Order Chaotic System with Nonlinear Delay

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