From fractal R-L ladder networks to the diffusion equation
Mathematical Physics
2023-04-19 v1 math.MP
Abstract
We give a self-contained presentation of fractal R-L ladder networks as well as a detailed computation of the admittance of these systems. We also discuss the conditions under which such systems display a fractional behavior. Finally, we give a full discussion of the connection existing between fractal R-L network and the diffusion equation.
Cite
@article{arxiv.2304.08558,
title = {From fractal R-L ladder networks to the diffusion equation},
author = {Jacky Cresson and Anna Szafranska},
journal= {arXiv preprint arXiv:2304.08558},
year = {2023}
}