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(Reference retrieved automatically from SciELO through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Self-similar resistive circuits as fractal-like structures

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Author(s):
Claudio Xavier Mendes dos Santos [1] ; Carlos Molina Mendes [2] ; Marcelo Ventura Freire [3]
Total Authors: 3
Affiliation:
[1] Universidade de São Paulo. Instituto de Ciências Matemáticas e de Computação - Brasil
[2] Universidade de São Paulo. Escola de Artes, Ciências e Humanidades - Brasil
[3] Universidade de São Paulo. Escola de Artes, Ciências e Humanidades - Brasil
Total Affiliations: 3
Document type: Journal article
Source: Revista Brasileira de Ensino de Física; v. 40, n. 1 2017-07-03.
Abstract

Fractals play a central role in several areas of modern physics and mathematics. 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. (AU)

FAPESP's process: 15/24380-2 - Generalized thermodinamics in fluid/gravity correspondences
Grantee:Carlos Molina Mendes
Support Opportunities: Regular Research Grants