Qualitative Study of a 4D Chaos Financial System

被引：13
|
作者：
Zhang, Fuchen [1 ,2 ]
Yang, Gaoxiang [3 ]
Zhang, Yong [4 ]
Liao, Xiaofeng [5 ]
Zhang, Guangyun [1 ]
机构：
[1] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
[2] Southwest Univ, Coll Math & Stat, Math Postdoctoral Stn, Chongqing 400716, Peoples R China
[3] Ankang Univ, Sch Math & Stat, Ankang 725000, Shaanxi, Peoples R China
[4] Henan Polytech Inst, Coll Math & Stat, Nanyang 473000, Peoples R China
[5] Southwest Univ, Coll Elect & Informat Engn, Chongqing 400716, Peoples R China
来源：
COMPLEXITY | 2018年
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
LORENZ SYSTEMS; HOMOCLINIC TRAJECTORIES; GLOBAL BOUNDEDNESS; ATTRACTORS; CHEN; SYNCHRONIZATION; HYPERCHAOS; DIMENSION; LU; EXISTENCE;
D O I：
10.1155/2018/3789873
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Some dynamics of a new 4D chaotic system describing the dynamical behavior of the finance are considered. Ultimate boundedness and global attraction domain are obtained according to Lyapunov stability theory. These results are useful in estimating the Lyapunov dimension of attractors, Hausdorff dimension of attractors, chaos control, and chaos synchronization. We will also present some simulation results. Furthermore, the volumes of the ultimate bound set and the global exponential attractive set are obtained.
引用
收藏
页数：5
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