Nonlinear analysis of bivariate data with cross recurrence plots

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dc.creatorMarwan, N.
dc.creatorKurths, J.
dc.date2002-01-29
dc.date2002-08-16
dc.date.accessioned2026-07-07T05:47:00Z
dc.date.available2026-07-07T05:47:00Z
dc.descriptionWe use the extension of the method of recurrence plots to cross recurrence plots (CRP) which enables a nonlinear analysis of bivariate data. To quantify CRPs, we develop further three measures of complexity mainly basing on diagonal structures in CRPs. The CRP analysis of prototypical model systems with nonlinear interactions demonstrates that this technique enables to find these nonlinear interrelations from bivariate time series, whereas linear correlation tests do not. Applying the CRP analysis to climatological data, we find a complex relationship between rainfall and El Nino data.
dc.identifierhttps://arxiv.org/abs/physics/0201061
dc.identifierhttp://arxiv.org/abs/physics/0201061
dc.identifierPhysics Letters A, 302(5-6), 2002, 299-307
dc.identifierdoi:10.1016/S0375-9601(02)01170-2
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/84551
dc.subjectData Analysis, Statistics and Probability
dc.subjectMathematical Physics
dc.subjectChaotic Dynamics
dc.subjectGeophysics
dc.titleNonlinear analysis of bivariate data with cross recurrence plots
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