The Mechanism of Chaotic Attractor in a Third Order Nonlinear Autonomous Circuit

Xie Jian-guang

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The Mechanism of Chaotic Attractor in a Third Order Nonlinear Autonomous Circuit

更新时间：2025-12-08

- The Mechanism of Chaotic Attractor in a Third Order Nonlinear Autonomous Circuit
- Acta Electronica Sinica Issue 2, Pages: 16-23(1988)
- 作者机构：
  
  1. 北京广播学院电子工程系
  2. 北京师范大学无线电电子学系
  3. 北京广播学院电子工程系北京师范大学无线电电子学系
- 作者简介：
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- Published：1988
- 稿件说明：
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[1]谢剑光,裴留庆,郭汾.一个三阶非线性自治电路中混沌吸引子的机制[J].电子学报,1988(02):16-23.

Xie Jian-guang. The Mechanism of Chaotic Attractor in a Third Order Nonlinear Autonomous Circuit[J]. Acta Electronica Sinica, 1988, (2): 16-23.
[1]谢剑光,裴留庆,郭汾.一个三阶非线性自治电路中混沌吸引子的机制[J].电子学报,1988(02):16-23. DOI：

Xie Jian-guang. The Mechanism of Chaotic Attractor in a Third Order Nonlinear Autonomous Circuit[J]. Acta Electronica Sinica, 1988, (2): 16-23. DOI：

摘要

从仅含有一个非线性电阻元件的三阶自治电路中观察到了双扭曲结构的混沌吸引子。采用Poincaré截面法得到了该系统的一种具有不变集合的一维映射

指明了系统中出现混沌行为的机制

理论分析与实验结果定性一致。

Abstract

A chaotic attractor of the double-scroll structure is observed from a third order autonomous electrical circuit which has only one nonlinear resistor. A one-dimentional map with an invariant set of the system has been presented by the Poincare method. The mechanism is shown for the system occuring chaotic behavior. The theoretical analysis is qualitati-vely consistent with experimental results.

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