TY  - EJOU
AU  - Dai, Dandan 
AU  - Li, Xiaoyu 
AU  - Li, Zhiyuan 
AU  - Zhang, Wei 
AU  - Wang, Yulan 

TI  - Numerical Simulation of the Fractional-Order Lorenz Chaotic Systems with Caputo Fractional Derivative
T2  - Computer Modeling in Engineering \& Sciences

PY  - 2023
VL  - 135
IS  - 2
SN  - 1526-1506

AB  - 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 , ,  on the numerical solution of fractional-order Lorenz chaotic systems. The simulation results of integer order are in good agreement with those of other methods. The simulation results of numerical experiments demonstrate the effectiveness of the present method.
KW  - Novel complex dynamic behavior; numerical simulation; fractional-order lorenz chaotic systems; high-precision

DO  - 10.32604/cmes.2022.022323