Please use this identifier to cite or link to this item: https://hdl.handle.net/20.500.12104/63207
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dc.contributor.authorHuerta-Cuellar, G.
dc.contributor.authorJimenez-Lopez, E.
dc.contributor.authorCampos-Canton, E.
dc.contributor.authorPisarchik, A.N.
dc.date.accessioned2015-11-18T23:43:40Z-
dc.date.available2015-11-18T23:43:40Z-
dc.date.issued2014
dc.identifier.urihttp://hdl.handle.net/20.500.12104/63207-
dc.description.abstractWe propose an approach for generation of deterministic Brownian motion. By adding an additional degree of freedom to the Langevin equation and transforming it into a system of three linear differential equations, we determine the position of switching surfaces, which act as a multi-well potential with a short fluctuation escape time. Although the model is based on the Langevin equation, the final system does not contain a stochastic term, and therefore the obtained motion is deterministic. Nevertheless, the system behavior exhibits important characteristic properties of Brownian motion, namely, a linear growth in time of the mean square displacement, a Gaussian distribution, and a -2 power law of the frequency spectrum. Furthermore, we use the detrended fluctuation analysis to prove the Brownian character of this motion. © 2014 Elsevier B.V.
dc.titleAn approach to generate deterministic Brownian motion
dc.typeArticle
dc.identifier.doi10.1016/j.cnsns.2014.01.010
dc.relation.ispartofjournalCommunications in Nonlinear Science and Numerical Simulation
dc.relation.ispartofvolume19
dc.relation.ispartofissue8
dc.relation.ispartofpage2740
dc.relation.ispartofpage2746
dc.subject.keywordBrownian motion; Deterministic Brownian motion; DFA analysis; Unstable dissipative systems
dc.contributor.affiliationHuerta-Cuellar, G., Universidad de Guadalajara, Centro Universitario de los Lagos, Enrique Díaz de León 1144, Paseos de la Montaña, 47460 Lagos de Moreno, Jalisco, Mexico, Instituto Potosino de Investigación Científica y Tecnológica, División de Matemáticas Aplicadas, Camino a la Presa San José 2055, col. Lomas 4 sección, 78216 San Luis Potosí (SLP), Mexico; Jiménez-López, E., Instituto Potosino de Investigación Científica y Tecnológica, División de Matemáticas Aplicadas, Camino a la Presa San José 2055, col. Lomas 4 sección, 78216 San Luis Potosí (SLP), Mexico; Campos-Cantón, E., Instituto Potosino de Investigación Científica y Tecnológica, División de Matemáticas Aplicadas, Camino a la Presa San José 2055, col. Lomas 4 sección, 78216 San Luis Potosí (SLP), Mexico; Pisarchik, A.N., Centro de Investigaciones en ptica, Loma del Bosque 115, Lomas del Campestre, Leon, Guanajuato 37150, Mexico, Center for Biomedical Technology, Technical University of Madrid, Campus Montegancedo, 28223 Pozuelo de Alarcon, Madrid, Spain
dc.relation.isReferencedByScopus
dc.relation.isReferencedByWOS
dc.identifier.urlhttp://www.scopus.com/inward/record.url?eid=2-s2.0-84894306615&partnerID=40&md5=e4736280b38ca15b13a7b43e83b7f39a
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