Título

Deterministic Brownian-like Motion: Electronic Approach

Autor

JOSE LUIS ECHENAUSIA MONROY

Eric Campos Cantón

Rider Jaimes Reátegui

JUAN HUGO GARCIA LOPEZ

GUILLERMO HUERTA CUELLAR

Nivel de Acceso

Acceso Abierto

Licencia

http://creativecommons.org/licenses/by-nc-nd/4.0

Identificador alterno

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

Materias

Brownian motion - (AUTOR) Deterministic Brownian motion - (AUTOR) DFA analysis - (AUTOR) Statistical analysis - (AUTOR) Electronic circuit - (AUTOR) Electronic implementation - (AUTOR) CIENCIAS FÍSICO MATEMÁTICAS Y CIENCIAS DE LA TIERRA - (CTI) FÍSICA - (CTI) ELECTRÓNICA - (CTI) ELECTRÓNICA - (CTI)

Resumen o descripción

"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."

Fecha de publicación

2022

Tipo de publicación

Artículo

Versión de la publicación

Versión publicada

Recurso de información

http://ipicyt.repositorioinstitucional.mx/jspui/handle/1010/2606

Formato

application/pdf

Sugerencia de citación

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

Repositorio Orígen

Repositorio IPICYT

Descargas

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