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
相关论文
共 50 条
  • [1] Chaos control for a 4D hyperchaotic system
    Xu Changjin
    Li Peiluan
    APPLIED MECHATRONICS AND ANDROID ROBOTICS, 2013, 418 : 84 - +
  • [2] Chaos control of a bounded 4D chaotic system
    Hassan Saberi Nik
    Mahin Golchaman
    Neural Computing and Applications, 2014, 25 : 683 - 692
  • [3] Chaos control of a bounded 4D chaotic system
    Nik, Hassan Saberi
    Golchaman, Mahin
    NEURAL COMPUTING & APPLICATIONS, 2014, 25 (3-4): : 683 - 692
  • [4] Circuit realization, bifurcations, chaos and hyperchaos in a new 4D system
    El-Sayed, A. M. A.
    Nour, H. M.
    Elsaid, A.
    Matouk, A. E.
    Elsonbaty, A.
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 239 : 333 - 345
  • [5] Chaos and hidden chaos in a 4D dynamical system using the fractal-fractional operators
    Matouk, A. E.
    AIMS MATHEMATICS, 2025, 10 (03): : 6233 - 6257
  • [6] Dynamic Analysis and Chaos of the 4D Fractional-Order Power System
    Sun, Fengyun
    Li, Qin
    ABSTRACT AND APPLIED ANALYSIS, 2014,
  • [7] A New 4D Chaos System with an Encryption Algorithm for Color and Grayscale Images
    Parvaz, Reza
    Yengejeh, Yavar Khedmati
    Behroo, Yousef
    INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2022, 32 (14):
  • [8] Qualitative analysis of a novel 4D hyperchaotic system and its chaos synchronization via active, adaptive, and sliding mode control
    Agrawal, Neha
    Singh, Govind
    INDIAN JOURNAL OF PHYSICS, 2024, 98 (12) : 4053 - 4069
  • [9] Chaos in a 4D dissipative nonlinear fermionic model
    Aydogmus, Fatma
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2015, 26 (07):
  • [10] Hyperchaos, chaos, and horseshoe in a 4D nonlinear system with an infinite number of equilibrium points
    Ping Zhou
    Fangyan Yang
    Nonlinear Dynamics, 2014, 76 : 473 - 480
12345