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Deterministic Brownian-like Motion: Electronic Approach

dc.contributor.authorEchenausía Monroy, José Luis
dc.contributor.authorCampos Cantón, Eric
dc.contributor.authorJaimes Reátegui, Rider
dc.contributor.authorGarcía López, Juan Hugo
dc.contributor.authorHuerta Cuellar, Guillermo
dc.date.accessioned2023-06-14T16:12:22Z
dc.date.available2023-06-14T16:12:22Z
dc.date.issued2022
dc.identifier.citationEchenausía-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
dc.identifier.urihttp://hdl.handle.net/11627/6328
dc.description.abstract"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."
dc.publisherMDPI
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/
dc.subjectBrownian motion
dc.subjectDeterministic Brownian motion
dc.subjectDFA analysis
dc.subjectStatistical analysis
dc.subjectElectronic circuit
dc.subjectElectronic implementation
dc.subject.classificationELECTRÓNICA
dc.titleDeterministic Brownian-like Motion: Electronic Approach
dc.typearticle
dc.identifier.doihttps://doi.org/10.3390/electronics11182949
dc.rights.accessAcceso Abierto


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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as Attribution-NonCommercial-NoDerivatives 4.0 Internacional