From fractal R-L ladder networks to the diffusion equation

2023/04/12 by Jacky Cresson, Anna Szafrańska, Cresson, Jacky +1
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Mathematical Theories and Applications #Complex Network Analysis Techniques #Complex Systems and Time Series Analysis #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · pdf · doi:10.48550/arxiv.2304.08558

openalex publication_date 2023/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

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.

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