Chaos Detection of the Chen System with Caputo-Hadamard Fractional Derivative

被引：13
|
作者：
Yin, Chuntao [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2021年 / 31卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Caputo-Hadamard derivative; Chen system; Lyapunov exponents; chaotic attractor;
D O I：
10.1142/S0218127421500164
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the chaotic behaviors of the Chen system with Caputo-Hadamard derivative. First, we construct some practical numerical schemes for the Chen system with Caputo-Hadamard derivative. Then, by means of the variational equation, we estimate the bounds of the Lyapunov exponents for the considered system. Furthermore, we analyze the dynamical evolution of the Chen system with Caputo-Hadamard derivative based on the Lyapunov exponents, and we found that chaos does exist in the considered system. Some phase diagrams and Lyapunov exponent spectra are displayed to verify our analysis.
引用
收藏
页数：14
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