DYNAMICS OF A GENERALIZED LORENZ-LIKE CHAOS DYNAMICAL SYSTEMS

被引：1

作者：

Zhang, Fuchen ^{[1
,2
]}

Zhou, Ping ^{[3
]}

Qin, Jin ^{[4
]}

Mu, Chunlai ^{[5
]}

Xu, Fei ^{[6
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Math Postdoctoral Stn, Chongqing 400715, Peoples R China

[2] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing Key Lab Social Econ & Appl Stat, Chongqing 400067, Peoples R China

[3] Chongqing Univ Posts & Telecommun, Ctr Syst Theory & Its Applicat, Chongqing 400065, Peoples R China

[4] Zunyi Normal Univ, Sch Math, Zunyi 563006, Guizhou, Peoples R China

[5] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China

[6] Wilfrid Laurier Univ, Dept Math, Waterloo, ON, Canada

来源：

JOURNAL OF APPLIED ANALYSIS AND COMPUTATION | 2021年 / 11卷 / 03期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

Lyapunov exponents; Lyapunov-like function; global stability; global attractivity; HOMOCLINIC TRAJECTORIES; GLOBAL BOUNDEDNESS; SYNCHRONIZATION; DIMENSION; EXISTENCE; ATTRACTORS; ORBITS; FAMILY; LU;

D O I：

10.11948/20200309

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this work, a new seven-parameter Lorenz-like chaotic system is presented and discussed by combining nonlinear dynamical systems theory with computer simulation. The existence of the ultimate bound set and global exponential attractive set of this chaotic system is proved by using Lyapunov's direct method. A family of analytic mathematical expression of the ultimate bound sets and global exponential attractive sets involving two parameters are obtained, respectively. Meanwhile, the volumes of the ultimate bound set and global exponential attractive set are obtained, respectively. Numerical simulations are conducted which validates the correctness of the proposed theoretical analysis.

引用

页码：1577 / 1587

页数：11

共 50 条

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