计算机工程与应用 ›› 2015, Vol. 51 ›› Issue (12): 53-54.

• 理论研究、研发设计 • 上一篇    下一篇

简化Lorenz混沌系统的非线性动力学分析

秦  进   

  1. 遵义师范学院 数学与计算科学学院,贵州 遵义 563002
  • 出版日期:2015-06-15 发布日期:2015-06-30

Dynamical analysis of modified Lorenz chaotic system

QIN Jin   

  1. School of Mathematics and Computer Science, Zunyi Normal College, Zunyi, Guizhou 563002, China
  • Online:2015-06-15 Published:2015-06-30

摘要: 借助Lyapunov函数稳定性理论研究了简化Lorenz混沌系统的全局吸引集,得到了它的界估计。通过了计算机模拟,数值模拟验证了计算理论的可行性。

关键词: 混沌, 全局吸引集, 数值仿真

Abstract: The global attractive set of a modified Lorenz chaotic system is studied via constructing a Lyapunov function. This paper derives its global exponential attractive set for this system. Numerical simulations are presented to show the effectiveness of the proposed scheme.

Key words: chaos, global attractive set, numerical simulations