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一种新的混沌系统的复合结构分析

刘文波 陈关荣

东南大学学报(英文版)2004,Vol.20Issue(4):477-481,5.
东南大学学报(英文版)2004,Vol.20Issue(4):477-481,5.

一种新的混沌系统的复合结构分析

Compound structure analysis of a new chaotic system

刘文波 1陈关荣2

作者信息

  • 1. 南京航空航天大学自动化学院,南京,210016
  • 2. 香港城市大学电子工程系,中国香港
  • 折叠

摘要

Abstract

This paper analyzes the compound attractor structure of a new three-dimensional autonomous chaotic system. First, it is found that there exist five equilibria in the chaotic system, and the stabilities of these equilibria are discussed under a constant scalar control input parameter m. Secondly, the trajectories of the attractors on a y-z plane are examined, the reasons why these trajectories can exist or disappear are also described. Finally, the forming procedure of the different scrolls chaotic attractor is explored by computer simulations when the parameter m is varied. It is shown that the new chaotic attractor has a compound structure, it can evolve to other three-dimensional autonomous chaotic systems. The results of theoretical analysis and simulation are helpful for better understanding of other similar chaotic systems.

关键词

三维自治系统/混沌/平衡点/吸引子/特征方程/复合结构

Key words

three-dimensional autonomous system/chaos/equilibrium/attractor/characteristic equation/compound structure

分类

数理科学

引用本文复制引用

刘文波,陈关荣..一种新的混沌系统的复合结构分析[J].东南大学学报(英文版),2004,20(4):477-481,5.

东南大学学报(英文版)

1003-7985

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