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dc.contributor.authorPazó, Diego-
dc.contributor.authorLópez, Juan M.-
dc.contributor.authorRodríguez, Miguel A.-
dc.date.accessioned2009-03-12T10:30:20Z-
dc.date.available2009-03-12T10:30:20Z-
dc.date.issued2009-03-11-
dc.identifier.citationPhysical Review E 79(3): 036202 (2009)en_US
dc.identifier.issn1539-3755-
dc.identifier.urihttp://hdl.handle.net/10261/11517-
dc.description5 pages, 4 figures.-- PACS nrs.: 05.45.Jn; 05.40.-a; 05.45.Ra; 92.60.Wc.en_US
dc.description.abstractIn a dynamical system the singular vector (SV) indicates which perturbation will exhibit maximal growth after a time interval τ. We show that in systems with spatiotemporal chaos the SV exponentially localizes in space. Under a suitable transformation, the SV can be described in terms of the Kardar-Parisi-Zhang equation with periodic noise. A scaling argument allows us to deduce a universal power law τ(−γ) for the localization of the SV. Moreover the same exponent γ characterizes the finite-τ deviation of the Lyapunov exponent in excellent agreement with simulations. Our results may help improve existing forecasting techniques.en_US
dc.description.sponsorshipFinancial support from the Ministerio de Educación y Ciencia (Spain) under Projects No. FIS2006-12253-C06-04 and No. CGL2007-64387/CLI is acknowledged. D.P. acknowledges the support by CSIC under the Junta de Ampliación de Estudios Programme (JAE-Doc).en_US
dc.format.extent228441 bytes-
dc.format.mimetypeapplication/pdf-
dc.language.isoengen_US
dc.publisherAmerican Physical Societyen_US
dc.relation.isversionofPublisher's version-
dc.rightsopenAccessen_US
dc.subjectChaosen_US
dc.subjectLyapunov methodsen_US
dc.subjectNonlinear dynamical systemsen_US
dc.subjectSpatiotemporal phenomenaen_US
dc.subjectVectorsen_US
dc.subjectHigh-dimensional chaosen_US
dc.subjectFluctuation phenomenaen_US
dc.subjectWeather analysis and predictionen_US
dc.titleExponential localization of singular vectors in spatiotemporal chaosen_US
dc.typeartículoen_US
dc.identifier.doi10.1103/PhysRevE.79.036202-
dc.description.peerreviewedPeer revieweden_US
dc.relation.publisherversionhttp://dx.doi.org/10.1103/PhysRevE.79.036202en_US
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