Numerical Simulation of the Fractional-Order Lorenz Chaotic Systems with Caputo Fractional Derivative  

作　　者：Dandan Dai Xiaoyu Li Zhiyuan Li Wei Zhang Yulan Wang 

机构地区：[1]School of Physics and Electronic Information Engineering,Jining Normal University,Jining,012000,China [2]Department of Mathematics,Inner Mongolia University of Technology,Hohhot,010051,China [3]Institute of Economics and Management,Jining Normal University,Jining,012000,China

出　　处：《Computer Modeling in Engineering & Sciences》2023年第5期1371-1392,共22页工程与科学中的计算机建模（英文）

基　　金：supported by the Natural Science Foundation of Inner Mongolia[2021MS01009];Jining Normal University[JSJY2021040,Jsbsjj1704,jsky202145].

摘　　要：Although some numerical methods of the fractional-order chaotic systems have been announced,high-precision numerical methods have always been the direction that researchers strive to pursue.Based on this problem,this paper introduces a high-precision numerical approach.Some complex dynamic behavior of fractional-order Lorenz chaotic systems are shown by using the present method.We observe some novel dynamic behavior in numerical experiments which are unlike any that have been previously discovered in numerical experiments or theoretical studies.We investigate the influence of α_(1),α_(2),α_(3) on the numerical solution of fractional-order Lorenz chaotic systems.The simulation results of integer order are in good agreement with those of othermethods.The simulation results of numerical experiments demonstrate the effectiveness of the present method.

关 键 词：Novel complex dynamic behavior numerical simulation fractional-order lorenz chaotic systems HIGH-PRECISION 

分 类 号：O172.1[理学—数学]