计算机工程与应用 ›› 2015, Vol. 51 ›› Issue (11): 55-56.

• 理论研究、研发设计 • 上一篇    下一篇

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. 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
  • 出版日期:2015-06-01 发布日期:2015-06-12

Dynamical behavior for forced Lorenz system

SUN Yeping1, LI Dexue1, ZHANG Yong1, SHU Yonglu2   

  1. 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

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

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