Dynamical behavior for forced Lorenz system

Computer Engineering and Applications ›› 2015, Vol. 51 ›› Issue (11): 55-56.

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Dynamical behavior for forced Lorenz system

SUN Yeping1, LI Dexue1, ZHANG Yong1, SHU Yonglu2

1.Department of Basic Education, Henan Polytechnic Institute, Nanyang, Henan 473000, China
2.College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China

Online:2015-06-01 Published:2015-06-12

受扰动Lorenz混沌系统的动力学分析

孙叶平1，李德雪1，张勇1，舒永录2

1.河南工业职业技术学院基础教学部，河南南阳?473000
2.重庆大学数学与统计学院，重庆 401331

Abstract

Abstract: Lorenz system is a very important chaotic system. The model of the forced Lorenz system is studied in this paper. The global attractive set of the forced Lorenz system is studied according to Lyapunov functions theory. The results presented in this article contain the existing results as special cases. Numerical simulations are presented to show the effectiveness of the proposed scheme.

Key words: Lorenz system, attractive set, computer simulation

摘要： 洛伦兹混沌系统是一个非常重要的混沌系统。给出了强迫洛伦兹混沌系统的数学模型，借助李雅普诺夫函数稳定性理论研究了该系统的全局吸引集，推广了现有文献中的结果。数值模拟表明了方案的可行性。

关键词: 洛伦兹系统, 吸引集, 数值仿真

SUN Yeping1, LI Dexue1, ZHANG Yong1, SHU Yonglu2. Dynamical behavior for forced Lorenz system[J]. Computer Engineering and Applications, 2015, 51(11): 55-56.

孙叶平1，李德雪1，张勇1，舒永录2. 受扰动Lorenz混沌系统的动力学分析[J]. 计算机工程与应用, 2015, 51(11): 55-56.

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Dynamical behavior for forced Lorenz system

受扰动Lorenz混沌系统的动力学分析

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