Title

Deterministic Brownian-like Motion: Electronic Approach

Author

JOSE LUIS ECHENAUSIA MONROY

Eric Campos Cantón

Rider Jaimes Reátegui

JUAN HUGO GARCIA LOPEZ

GUILLERMO HUERTA CUELLAR

Access level

Open Access

Alternative identifier

doi: https://doi.org/10.3390/electronics11182949

Summary or description

"Brownian motion is a dynamic behavior with random changes over time (stochastic) that occurs in many vital functions related to fluid environments, stock behavior, or even renewable energy generation. In this paper, we present a circuit implementation that reproduces Brownian motion based on a fully deterministic set of differential equations. The dynamics of the electronic circuit are characterized using four well-known metrics of Brownian motion, namely: (i) Detrended Fluctuation Analysis (DFA), (ii) power law in the power spectrum, (iii) normal probability distribution, and (iv) Mean Square Displacement (MSD); where traditional Brownian motion exhibits linear time growth of the MSD, a Gaussian distribution, a −2 power law of the frequency spectrum, and DFA values close to 1.5. The obtained results show that for a certain combination of values in the deterministic model, the dynamics in the electronic circuit are consistent with the expectations for a stochastic Brownian behavior. The presented electronic circuit improves the study of Brownian behavior by eliminating the stochastic component, allowing reproducibility of the results through fully deterministic equations, and enabling the generation of physical signals (analog electronic signals) with Brownian-like properties with potential applications in fields such as medicine, economics, genetics, and communications, to name a few."

Publish date

2022

Publication type

Article

Publication version

Published Version

Format

application/pdf

Citation suggestion

Echenausía-Monroy, J.L.; Campos, E.; Jaimes-Reátegui, R.; García-López, J.H.; Huerta-Cuellar, G. Deterministic Brownian-like Motion: Electronic Approach. Electronics 2022, 11, 2949. https://doi.org/10.3390/electronics11182949

Source repository

Repositorio IPICYT

Downloads

4

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