Local dimension and finite time prediction in coupled map lattices

Detalhes bibliográficos
Autor(a) principal: Muruganandam, P.
Data de Publicação: 2005
Outros Autores: Francisco, G. [UNESP]
Tipo de documento: Artigo de conferência
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1007/BF02704565
http://hdl.handle.net/11449/68138
Resumo: Forecasting, for obvious reasons, often become the most important goal to be achieved. For spatially extended systems (e.g. atmospheric system) where the local nonlinearities lead to the most unpredictable chaotic evolution, it is highly desirable to have a simple diagnostic tool to identify regions of predictable behaviour. In this paper, we discuss the use of the bred vector (BV) dimension, a recently introduced statistics, to identify the regimes where a finite time forecast is feasible. Using the tools from dynamical systems theory and Bayesian modelling, we show the finite time predictability in two-dimensional coupled map lattices in the regions of low BV dimension. © Indian Academy of Sciences.
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spelling Local dimension and finite time prediction in coupled map latticesCoupled map latticesSpatio-temporal chaosChaos theoryEarth atmosphereEigenvalues and eigenfunctionsMathematical modelsMatrix algebraNonlinear systemsPerturbation techniquesStatisticsVectorsWeather forecastingCovarience matrixFinite time calculationsMapsForecasting, for obvious reasons, often become the most important goal to be achieved. For spatially extended systems (e.g. atmospheric system) where the local nonlinearities lead to the most unpredictable chaotic evolution, it is highly desirable to have a simple diagnostic tool to identify regions of predictable behaviour. In this paper, we discuss the use of the bred vector (BV) dimension, a recently introduced statistics, to identify the regimes where a finite time forecast is feasible. Using the tools from dynamical systems theory and Bayesian modelling, we show the finite time predictability in two-dimensional coupled map lattices in the regions of low BV dimension. © Indian Academy of Sciences.Department of Physics Centre for Nonlinear Dynamics Bharathidasan University, Tiruchirapalli 620 024Inst. de Fis. Teórica Universidade Estadual Paulista, 01405-900 São Paulo-SPInst. de Fis. Teórica Universidade Estadual Paulista, 01405-900 São Paulo-SPBharathidasan UniversityUniversidade Estadual Paulista (Unesp)Muruganandam, P.Francisco, G. [UNESP]2014-05-27T11:21:17Z2014-05-27T11:21:17Z2005-03-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/conferenceObject381-387http://dx.doi.org/10.1007/BF02704565Pramana - Journal of Physics, v. 64, n. 3 SPEC. ISS., p. 381-387, 2005.0304-4289http://hdl.handle.net/11449/6813810.1007/BF02704565WOS:0002278131000092-s2.0-15744370009Scopusreponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengPramana: Journal of Physics0.6990,214info:eu-repo/semantics/openAccess2021-10-23T21:41:34Zoai:repositorio.unesp.br:11449/68138Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462024-08-05T23:29:57.216390Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Local dimension and finite time prediction in coupled map lattices
title Local dimension and finite time prediction in coupled map lattices
spellingShingle Local dimension and finite time prediction in coupled map lattices
Muruganandam, P.
Coupled map lattices
Spatio-temporal chaos
Chaos theory
Earth atmosphere
Eigenvalues and eigenfunctions
Mathematical models
Matrix algebra
Nonlinear systems
Perturbation techniques
Statistics
Vectors
Weather forecasting
Covarience matrix
Finite time calculations
Maps
title_short Local dimension and finite time prediction in coupled map lattices
title_full Local dimension and finite time prediction in coupled map lattices
title_fullStr Local dimension and finite time prediction in coupled map lattices
title_full_unstemmed Local dimension and finite time prediction in coupled map lattices
title_sort Local dimension and finite time prediction in coupled map lattices
author Muruganandam, P.
author_facet Muruganandam, P.
Francisco, G. [UNESP]
author_role author
author2 Francisco, G. [UNESP]
author2_role author
dc.contributor.none.fl_str_mv Bharathidasan University
Universidade Estadual Paulista (Unesp)
dc.contributor.author.fl_str_mv Muruganandam, P.
Francisco, G. [UNESP]
dc.subject.por.fl_str_mv Coupled map lattices
Spatio-temporal chaos
Chaos theory
Earth atmosphere
Eigenvalues and eigenfunctions
Mathematical models
Matrix algebra
Nonlinear systems
Perturbation techniques
Statistics
Vectors
Weather forecasting
Covarience matrix
Finite time calculations
Maps
topic Coupled map lattices
Spatio-temporal chaos
Chaos theory
Earth atmosphere
Eigenvalues and eigenfunctions
Mathematical models
Matrix algebra
Nonlinear systems
Perturbation techniques
Statistics
Vectors
Weather forecasting
Covarience matrix
Finite time calculations
Maps
description Forecasting, for obvious reasons, often become the most important goal to be achieved. For spatially extended systems (e.g. atmospheric system) where the local nonlinearities lead to the most unpredictable chaotic evolution, it is highly desirable to have a simple diagnostic tool to identify regions of predictable behaviour. In this paper, we discuss the use of the bred vector (BV) dimension, a recently introduced statistics, to identify the regimes where a finite time forecast is feasible. Using the tools from dynamical systems theory and Bayesian modelling, we show the finite time predictability in two-dimensional coupled map lattices in the regions of low BV dimension. © Indian Academy of Sciences.
publishDate 2005
dc.date.none.fl_str_mv 2005-03-01
2014-05-27T11:21:17Z
2014-05-27T11:21:17Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/conferenceObject
format conferenceObject
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1007/BF02704565
Pramana - Journal of Physics, v. 64, n. 3 SPEC. ISS., p. 381-387, 2005.
0304-4289
http://hdl.handle.net/11449/68138
10.1007/BF02704565
WOS:000227813100009
2-s2.0-15744370009
url http://dx.doi.org/10.1007/BF02704565
http://hdl.handle.net/11449/68138
identifier_str_mv Pramana - Journal of Physics, v. 64, n. 3 SPEC. ISS., p. 381-387, 2005.
0304-4289
10.1007/BF02704565
WOS:000227813100009
2-s2.0-15744370009
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Pramana: Journal of Physics
0.699
0,214
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 381-387
dc.source.none.fl_str_mv Scopus
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
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