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Frontiers of Information Technology & Electronic Engineering 

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Unified construction of two n-order circuit networks with diodes


Author(s):  Xiaoyan LIN, Zhizhong TAN

Affiliation(s):  Department of Physics, Nantong University, Nantong 226019, China

Corresponding email(s):  xiaoyanlin02@163.com, tanz@ntu.edu.cn

Key Words:  Complex networks; Equivalent transform; Nonlinear difference equation; Equivalent resistance


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Xiaoyan LIN, Zhizhong TAN. Unified construction of two n-order circuit networks with diodes[J]. Frontiers of Information Technology & Electronic Engineering , 1998, -1(5): .

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publisher="Zhejiang University Press & Springer",
doi="10.1631/FITEE.2200360"
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Abstract: 
In this paper, two different n-order topological circuit networks are connected by diodes to establish a unified network model, which constitutes a previously unexplored problem. The network model includes not only five resistive elements but also diode devices, thus the network contains many different network types. This problem can be resolved through three main steps: Firstly, the network is simplified into two different equivalent circuit models. Secondly, the nonlinear differential 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 a example, several interesting specific results are deduced. Our study on the network model has significant value, as it can be applied to the relevant interdisciplinary research.

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