Self-similar resistive circuits as fractal-like structures
General Physics
2017-07-12 v1
Abstract
In the present work we explore resistive circuits where the individual resistors are arranged in fractal-like patterns. These circuits have some of the characteristics typically found in geometric fractals, namely self-similarity and scale invariance. Considering resistive circuits as graphs, we propose a definition of self-similar circuits which mimics a self-similar fractal. General properties of the resistive circuits generated by this approach are investigated, and interesting examples are commented in detail. Specifically, we consider self-similar resistive series, tree-like resistive networks and Sierpinski's configurations with resistors.
Keywords
Cite
@article{arxiv.1707.03274,
title = {Self-similar resistive circuits as fractal-like structures},
author = {Claudio Xavier Mendes dos Santos and Carlos Molina Mendes and Marcelo Ventura Freire},
journal= {arXiv preprint arXiv:1707.03274},
year = {2017}
}
Comments
9 pages, 15 figures