受扰动Lorenz混沌系统的动力学分析  

Dynamical behavior for forced Lorenz system

作　　者：孙叶平[1] 李德雪[1] 张勇[1] 舒永录[2] 

机构地区：[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

出　　处：《计算机工程与应用》2015年第11期55-56,共2页Computer Engineering and Applications

基　　金：国家自然科学基金(No.10601071)

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。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.

关 键 词：洛伦兹系统 吸引集 数值仿真 

分 类 号：O175.8[理学—数学]