On the Dynamics of the Chaotic General Lorenz System

被引：11

作者：

Zhang, Fuchen ^{[1
]}

Liao, Xiaofeng ^{[2
]}

Chen, Yi-An ^{[1
]}

Mu, Chunlai ^{[3
]}

Zhang, Guangyun ^{[1
]}

机构：

[1] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China

[2] Southwest Univ, Coll Elect & Informat Engn, Chongqing 400716, Peoples R China

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

来源：

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | 2017年 / 27卷 / 05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：

General Lorenz system; Lyapunov stability theory; optimization theory; global attractive set; HOMOCLINIC TRAJECTORIES; SHIMIZU-MORIOKA; ATTRACTOR; EXISTENCE; CHEN; LU; BOUNDEDNESS; ORBITS; BOUNDS;

D O I：

10.1142/S0218127417500754

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the global attractive sets of the general Lorenz system are studied based on the Lyapunov stability theory and optimization theory. The innovation of this paper lies in that the method of constructing Lyapunov functions applied to many other dynamical systems is not applicable to this general Lorenz system. Comparing with the best results in the current literature, our new results fill the gap of the estimate for the case of a > 0, c > 0, b > 1.

引用

页数：7

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