用二极管统一构建两个<italic style="font-style: italic">n</italic>阶电路网络

林小燕; 谭志中

doi:10.1631/FITEE.2200360

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用二极管统一构建两个n阶电路网络

常规文章 | Updated：2023-02-27

- 用二极管统一构建两个n阶电路网络
- Unified construction of two n-order circuit networks with diodes
- 信息与电子工程前沿(英文版) 2023年24卷第2期页码：289-298
- Affiliations：
  
  Department of Physics, Nantong University, Nantong 226019, China
- Author bio：
  
  Email: xiaoyanlin02@163.com;
  ‡Corresponding author
- Funds：
- DOI：10.1631/FITEE.2200360
  中图分类号： O441.1; TN711.3
- 收稿：2022-08-27，
  
  修回：2022-09-18，
  
  纸质出版：2023-02-0
- Accepted：
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林小燕, 谭志中. 用二极管统一构建两个n阶电路网络[J]. 信息与电子工程前沿(英文版), 2023,24(2):289-298.

Xiaoyan LIN, Zhizhong TAN. Unified construction of two n-order circuit networks with diodes[J]. Frontiers of Information Technology & Electronic Engineering, 2023, 24(2): 289-298.
林小燕, 谭志中. 用二极管统一构建两个n阶电路网络[J]. 信息与电子工程前沿(英文版), 2023,24(2):289-298. DOI： 10.1631/FITEE.2200360.

Xiaoyan LIN, Zhizhong TAN. Unified construction of two n-order circuit networks with diodes[J]. Frontiers of Information Technology & Electronic Engineering, 2023, 24(2): 289-298. DOI： 10.1631/FITEE.2200360.

摘要

本文通过二极管将两个不同的

阶拓扑电路网络连接起来，建立起一个统一的网络模型，这是一个以前没有研究解决的新问题。该网络模型不仅包含五个电阻元件，还包含二极管器件，因此该网络包含多种不同的网络类型。该问题可以通过三个主要步骤来解决：首先，将网络简化为两个不同的等效电路模型；其次，应用基尔霍夫定律建立非线性差分方程模型；最后，对结构相似的两个方程进行统一处理，并利用等效变换技术得到非线性差分方程的通解。作为应用，文章推导出几个有趣的特殊结果。网络模型的研究非常重要，可以应用于跨学科研究。

Abstract

In this paper

two different

-order topological circuit networks are connected by diodes to establish a unified network model

which is a previously unexplored problem. The network model includes not only five resistive elements but also diode devices

so the network contains many different network types. This problem can be solved through three main steps: First

the network is simplified into two different equivalent circuit models. Second

the nonlinear difference equation model is established by applying Kirchhoff’s law. Finally

the two equations with similar structures are processed uniformly

and the general solutions of the nonlinear difference equations are obtained by using the transformation technique. As an example

several interesting specific results are deduced. Our study on the network model has significant value

as it can be applied to relevant interdisciplinary research.

关键词

Keywords

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An optimized formula for the two-point resistance of a cobweb resistance network and its potential application

Number estimation of controllers for pinning a complex dynamical network

用二极管统一构建两个n阶电路网络

Unified construction of two n-order circuit networks with diodes

DOI：10.1631/FITEE.2200360

摘要

Abstract

关键词

Keywords

references