Solution and dynamics analysis of a fractional-order hyperchaotic system

被引：33
作者：
He, Shaobo [1 ]
Sun, Kehui [1 ,2 ]
Wang, Huihai [1 ]
机构：
[1] Cent S Univ, Sch Phys & Elect, Changsha 410083, Peoples R China
[2] Xinjiang Univ, Sch Phys Sci & Technol, Urumqi 830046, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 11期
基金：
中国国家自然科学基金;
关键词：
fractional-order calculus; chaos; Adomian decomposition method; Lyapunov characteristic exponents; C-0; complexity; LYAPUNOV EXPONENTS; CHAOTIC SYSTEM; CHEN SYSTEM; SYNCHRONIZATION; APPROXIMATION; ROSSLER;
D O I：
10.1002/mma.3743
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Numerical solution and chaotic behaviors of the fractional-order simplified Lorenz hyperchaotic system are investigated in this paper. The solution of the fractional-order hyperchaotic system is obtained by employing Adomian decomposition method. Lyapunov characteristic exponents algorithm for the fractional-order chaotic system is designed. Dynamics of the fractional-order hyperchaotic systemare analyzed by means of bifurcation diagrams, Lyapunov characteristic exponents, C-0 complexity, and chaos diagram. It shows that this systemhas rich dynamical behaviors, and it ismore complex when the fractional order q is small. It lays a foundation for the practical application of the fractional-order hyperchaotic systems. Copyright (C) 2015 JohnWiley & Sons, Ltd.
引用
收藏
页码：2965 / 2973
页数：9
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