Pattern formation in diffusive-advective coupled map lattices
Autor(a) principal: | |
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Data de Publicação: | 2004 |
Outros Autores: | , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRGS |
Texto Completo: | http://hdl.handle.net/10183/101359 |
Resumo: | We investigate pattern formation and evolution in coupled map lattices when advection is incorporated, in addition to the usual diffusive term. All patterns may be suitably grouped into five classes: three periodic, supporting static patterns and traveling waves, and two nonperiodic. Relative frequencies are determined as a function of all model parameters: diffusion, advection, local nonlinearity, and lattice size. Advection plays an important role in coupled map lattices, being capable of considerably altering pattern evolution. For instance, advection may induce synchronization, making chaotic patterns evolve periodically. As a byproduct we describe a practical algorithm for classifying generic pattern evolutions and for measuring velocities of traveling waves. |
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Lind, Pedro GonçalvesCorte-Real, João Alexandre MedinaGallas, Jason Alfredo Carlson2014-08-19T02:10:29Z20041539-3755http://hdl.handle.net/10183/101359000416649We investigate pattern formation and evolution in coupled map lattices when advection is incorporated, in addition to the usual diffusive term. All patterns may be suitably grouped into five classes: three periodic, supporting static patterns and traveling waves, and two nonperiodic. Relative frequencies are determined as a function of all model parameters: diffusion, advection, local nonlinearity, and lattice size. Advection plays an important role in coupled map lattices, being capable of considerably altering pattern evolution. For instance, advection may induce synchronization, making chaotic patterns evolve periodically. As a byproduct we describe a practical algorithm for classifying generic pattern evolutions and for measuring velocities of traveling waves.application/pdfengPhysical review. E, Statistical, nonlinear, and soft matter physics. Vol. 69, no. 6 (June 2004), 066206, 12 p.FísicaPattern formation in diffusive-advective coupled map latticesEstrangeiroinfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFRGSinstname:Universidade Federal do Rio Grande do Sul (UFRGS)instacron:UFRGSORIGINAL000416649.pdf000416649.pdfTexto completo (inglês)application/pdf890078http://www.lume.ufrgs.br/bitstream/10183/101359/1/000416649.pdf6a07916f3d8d38944ddba4cdfa92fc6fMD51TEXT000416649.pdf.txt000416649.pdf.txtExtracted Texttext/plain41472http://www.lume.ufrgs.br/bitstream/10183/101359/2/000416649.pdf.txt3973afbfed99bf2979a514c8002ee987MD52THUMBNAIL000416649.pdf.jpg000416649.pdf.jpgGenerated Thumbnailimage/jpeg1923http://www.lume.ufrgs.br/bitstream/10183/101359/3/000416649.pdf.jpgf6fd0cc26a7cc3d4325c5f100c2e2373MD5310183/1013592024-03-28 06:24:00.618409oai:www.lume.ufrgs.br:10183/101359Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2024-03-28T09:24Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Pattern formation in diffusive-advective coupled map lattices |
title |
Pattern formation in diffusive-advective coupled map lattices |
spellingShingle |
Pattern formation in diffusive-advective coupled map lattices Lind, Pedro Gonçalves Física |
title_short |
Pattern formation in diffusive-advective coupled map lattices |
title_full |
Pattern formation in diffusive-advective coupled map lattices |
title_fullStr |
Pattern formation in diffusive-advective coupled map lattices |
title_full_unstemmed |
Pattern formation in diffusive-advective coupled map lattices |
title_sort |
Pattern formation in diffusive-advective coupled map lattices |
author |
Lind, Pedro Gonçalves |
author_facet |
Lind, Pedro Gonçalves Corte-Real, João Alexandre Medina Gallas, Jason Alfredo Carlson |
author_role |
author |
author2 |
Corte-Real, João Alexandre Medina Gallas, Jason Alfredo Carlson |
author2_role |
author author |
dc.contributor.author.fl_str_mv |
Lind, Pedro Gonçalves Corte-Real, João Alexandre Medina Gallas, Jason Alfredo Carlson |
dc.subject.por.fl_str_mv |
Física |
topic |
Física |
description |
We investigate pattern formation and evolution in coupled map lattices when advection is incorporated, in addition to the usual diffusive term. All patterns may be suitably grouped into five classes: three periodic, supporting static patterns and traveling waves, and two nonperiodic. Relative frequencies are determined as a function of all model parameters: diffusion, advection, local nonlinearity, and lattice size. Advection plays an important role in coupled map lattices, being capable of considerably altering pattern evolution. For instance, advection may induce synchronization, making chaotic patterns evolve periodically. As a byproduct we describe a practical algorithm for classifying generic pattern evolutions and for measuring velocities of traveling waves. |
publishDate |
2004 |
dc.date.issued.fl_str_mv |
2004 |
dc.date.accessioned.fl_str_mv |
2014-08-19T02:10:29Z |
dc.type.driver.fl_str_mv |
Estrangeiro info:eu-repo/semantics/article |
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article |
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publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10183/101359 |
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1539-3755 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000416649 |
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http://hdl.handle.net/10183/101359 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.ispartof.pt_BR.fl_str_mv |
Physical review. E, Statistical, nonlinear, and soft matter physics. Vol. 69, no. 6 (June 2004), 066206, 12 p. |
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info:eu-repo/semantics/openAccess |
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openAccess |
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application/pdf |
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