Explicit potential function and fast algorithm for computing potentials in α× β conic surface resistor network

X Jiang, G Zhang, Y Zheng, Z Jiang - Expert Systems with Applications, 2024 - Elsevier
Resistor network research is of great importance, yet many resistor networks and their large-
scale fast computations have not received sufficient attention. This paper proposes a new …

Anomalous fractal scaling in two-dimensional electric networks

X Zhang, B Zhang, H Sahin, ZB Siu… - Communications …, 2023 - nature.com
Much of the qualitative nature of physical systems can be predicted from the way it scales
with system size. Contrary to the continuum expectation, we observe a profound deviation …

Impedance responses and size-dependent resonances in topolectrical circuits via the method of images

H Sahin, ZB Siu, SM Rafi-Ul-Islam, JF Kong, MBA Jalil… - Physical Review B, 2023 - APS
Resonances in an electric circuit occur when capacitive and inductive components are
present together. Such resonances appear in admittance measurements depending on the …

Recursion-transform approach to compute the resistance of a resistor network with an arbitrary boundary

ZZ Tan - Chinese Physics B, 2015 - iopscience.iop.org
We consider a profound problem of two-point resistance in the resistor network with a null
resistor edge and an arbitrary boundary, which has not been solved before because the …

Recursion-transform method and potential formulae of the m× n cobweb and fan networks

ZZ Tan - Chinese Physics B, 2017 - iopscience.iop.org
Recursion-transform method and potential formulae of the m <b>×</b> n cobweb and fan
networks - IOPscience Skip to content IOP Science home Accessibility Help Search Journals …

Two optimized novel potential formulas and numerical algorithms for cobweb and fan resistor networks

W Zhao, Y Zheng, X Jiang, Z Jiang - Scientific Reports, 2023 - nature.com
The research of resistive network will become the basis of many fields. At present, many
exact potential formulas of some complex resistor networks have been obtained. Computer …

A novel formula for representing the equivalent resistance of the cylindrical resistor network

X Meng, X Jiang, Y Zheng, Z Jiang - Scientific Reports, 2024 - nature.com
The problem of solving the equivalent resistance between two points for resistor networks
has important significance in physics. This paper mainly changes and rewrites the formula …

Resistance theory for two classes of n-periodic networks

ZZ Tan - The European Physical Journal Plus, 2022 - Springer
Two kinds of n-order periodic resistor networks are considered: one is a standard resistor
network with two surfaces; the other is an unconventional resistor network with only one …

Circuit network theory of n-horizontal bridge structure

XY Fang, ZZ Tan - Scientific Reports, 2022 - nature.com
This research investigates a complex n order cascading circuit network with embedded
horizontal bridge circuits with the N-RT method. The contents of the study include equivalent …

The equivalent resistance of a 3× n cobweb network and its conjecture of an m× n cobweb network

Z Tan, L Zhou, JH Yang - Journal of Physics A: Mathematical and …, 2013 - iopscience.iop.org
We investigate the equivalent resistance of a 3× n cobweb network. The difference
equations of the model are constructed by network analysis and their general solution is …