Dynamical Behaviors of a Modified Lorenz-Stenflo Chaotic System

被引：5
|
作者：
Zhang, Fuchen [1 ]
Wang, Xingyuan [2 ]
Liao, Xiaofeng [3 ]
Zhang, Guangyun [1 ]
Mu, Chunlai [4 ]
机构：
[1] Chongqing Technol & Business Univ, Coll Math & Stat, Chongqing 400067, Peoples R China
[2] Dalian Univ Technol, Fac Elect Informat & Elect Engn, Dalian 116024, Peoples R China
[3] Southwest Univ, Coll Elect & Informat Engn, Chongqing 400715, Peoples R China
[4] 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：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Lyapunov stability; Lyapunov-like functions; domain of attraction; boundedness; INVARIANT SET; ATTRACTOR; EXISTENCE; CHEN; LU; TRAJECTORIES; DIMENSION;
D O I：
10.1142/S0218127417500742
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, the ultimate bound and globally exponentially attractive sets of a modified Lorenz-Stenflo system are studied based on the Lyapunov stability theory and optimization theory. Comparing with the best results in the current literature, our new results include the existing results as special cases. Furthermore, the new results offer a theoretical support to studying the Hausdorff dimension of attractor of this modified Lorenz-Stenflo system. These theoretical results are also important and useful for chaos control and chaos synchronization.
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页数：10
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