Chaotic Behavior in A Nonlinear Circuit

Guo Fen; Pei Liu-qing; Wu Shu-xian

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Chaotic Behavior in A Nonlinear Circuit

更新时间：2025-12-08

- Chaotic Behavior in A Nonlinear Circuit
- Acta Electronica Sinica Issue 1, Pages: 30-35(1986)
- 作者机构：
  
  北京师范大学无线电电子学系
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：1986
- 稿件说明：
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[1]郭汾,裴留庆,吴淑贤.一个非线性电路中的混沌行为[J].电子学报,1986(01):30-35.

Guo Fen, Pei Liu-qing, Wu Shu-xian. Chaotic Behavior in A Nonlinear Circuit[J]. Acta Electronica Sinica, 1986, (1): 30-35.
[1]郭汾,裴留庆,吴淑贤.一个非线性电路中的混沌行为[J].电子学报,1986(01):30-35. DOI：

Guo Fen, Pei Liu-qing, Wu Shu-xian. Chaotic Behavior in A Nonlinear Circuit[J]. Acta Electronica Sinica, 1986, (1): 30-35. DOI：

摘要

对一个受迫非线性RL-变容管电路的研究中发现

它除了具有周期倍增导致混沌的过程外

对次谐波还具有锁定能力。实验获得了它在大参数范围内的频率捕捉区

其结构特征在目前的文献中尚不多见。采用了变容管的一种最简单的模型

对该系统进行了数值模拟

所得分支图和相空间轨道与实验观测取得了很好的一致。作者对系统产生混沌的机制及其对某些应用的可能性提出了看法。

Abstract

In the investigation of a nonlinear forced RL-varactor circuit

it is discovered that besides the period-doubling route to chaos

the system has also the frequency locking ability to its subharmonics. A frequency entrainment diagram of the system is obtained experimentally in a large scale of parameters

with a structure not found in literatures. The simplest model of the varactor is used to simulate the system. The bifurcation diagram and the phase-space orbits obtained from the computer agree well with those taken from the experiments. The mechanism of the chaos appearance is also studied. Possible applications of some results are presented.

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