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General approach for dealing with dynamical systems with spatiotemporal periodicities

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dc.affiliation.dptoUC3M. Departamento de Matemáticases
dc.affiliation.grupoinvUC3M. Grupo de Investigación: Interdisciplinar de Sistemas Complejos (GISC)es
dc.contributor.authorCasado Pascual, Jesús
dc.contributor.authorCuesta, José A.
dc.contributor.authorRodríguez Quintero, Niurka
dc.contributor.authorÁlvarez Nodarse, Renato
dc.date.accessioned2015-07-21T10:06:40Z
dc.date.available2015-07-21T10:06:40Z
dc.date.issued2015-02-09
dc.description.abstractDynamical systems often contain oscillatory forces or depend on periodic potentials. Time or space periodicity is reflected in the properties of these systems through a dependence on the parameters of their periodic terms. In this paper we provide a general theoretical framework for dealing with these kinds of systems, regardless of whether they are classical or quantum, stochastic or deterministic, dissipative or nondissipative, linear or nonlinear, etc. In particular, we are able to show that simple symmetry considerations determine, to a large extent, how their properties depend functionally on some of the parameters of the periodic terms. For the sake of illustration, we apply this formalism to find the functional dependence of the expectation value of the momentum of a Bose-Einstein condensate, described by the Gross-Pitaewskii equation, when it is exposed to a sawtooth potential whose amplitude is periodically modulated in time. We show that, by using this formalism, a small set of measurements is enough to obtain the functional form for a wide range of parameters. This can be very helpful when characterizing experimentally the response of systems for which performing measurements is costly or difficult.en
dc.description.sponsorshipThis work has been supported by through Grants No. MTM2012-36732-C03-03 (R.A.N.), No. FIS2011-24540 (N.R.Q.), and PRODIEVO (J.A.C.), from the Ministerio de Economía y Competitividad (Spain), Grants No. FQM262 (R.A.N.), No. FQM207 (N.R.Q.), and Nos. FQM-7276 and P09-FQM-4643 (N.R.Q., R.A.N.), from the Ministerio de Ciencia e Innovación of Spain, Grant No. FIS2008-02873 (J.C.-P.), from Junta de Andalucía (Spain), and from the Alexander von Humboldt-Stiftung, Germany, through Research Fellowship for Experienced Researchers SPA, Grant No. 1146358 STP (N.R.Q.).en
dc.description.statusPublicado
dc.format.extent4
dc.format.mimetypeapplication/pdf
dc.identifier.bibliographicCitationPhysical Review E 91 (2015) 022905, pp. 1-4en
dc.identifier.doi10.1103/PhysRevE.91.022905
dc.identifier.issn1539-3755
dc.identifier.publicationfirstpage1
dc.identifier.publicationissue022905
dc.identifier.publicationlastpage4
dc.identifier.publicationtitlePhysical Review. Een
dc.identifier.publicationvolume91
dc.identifier.urihttps://hdl.handle.net/10016/21452
dc.identifier.uxxiAR/0000016583
dc.language.isoeng
dc.publisherAmerican Physical Societyen
dc.relation.projectIDGobierno de España. FIS2011-22449/PRODIEVOes
dc.relation.projectIDGobierno de España. MTM2012-36732-C03-03es
dc.relation.projectIDGobierno de España. FIS2011-24540es
dc.relation.publisherversionhttp://dx.doi.org/10.1103/PhysRevE.91.022905
dc.rights© 2015 American Physical Societyen
dc.rights.accessRightsopen access
dc.subject.ecienciaMatemáticases
dc.titleGeneral approach for dealing with dynamical systems with spatiotemporal periodicitiesen
dc.typeresearch article*
dc.type.hasVersionVoR*
dspace.entity.typePublication
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