Inducing coherence in networks of bistable maps by varying the interaction range
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/10183/101361 |
Resumo: | Ordinarily, two different topologies have been used to model spatiotemporal chaos and to study complexity in networks of maps: one where sites interact only with nearest neighbors (e.g., the standard diffusive coupling) and one where sites interact with all sites in the network (global coupling). Here we investigate intermediate regimes considering the interaction range as a free tunable parameter. The synchronization behavior normally seen in globally coupled maps is found to set in for interaction ranges considerably smaller than the system size. In addition, we analytically derive stability conditions for the onset of coherent states ~full synchronization! from which the minimum interaction range needed to induce coherence in homogeneously coupled maps can be determined. Such conditions are also obtained for inhomogeneous situations when the coupling strength decreases linearly with the distance. The characteristic range for the onset of coherence is studied in detail as a function of model parameters. |
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Lind, Pedro GonçalvesCorte-Real, João Alexandre MedinaGallas, Jason Alfredo Carlson2014-08-19T02:10:29Z20041539-3755http://hdl.handle.net/10183/101361000413183Ordinarily, two different topologies have been used to model spatiotemporal chaos and to study complexity in networks of maps: one where sites interact only with nearest neighbors (e.g., the standard diffusive coupling) and one where sites interact with all sites in the network (global coupling). Here we investigate intermediate regimes considering the interaction range as a free tunable parameter. The synchronization behavior normally seen in globally coupled maps is found to set in for interaction ranges considerably smaller than the system size. In addition, we analytically derive stability conditions for the onset of coherent states ~full synchronization! from which the minimum interaction range needed to induce coherence in homogeneously coupled maps can be determined. Such conditions are also obtained for inhomogeneous situations when the coupling strength decreases linearly with the distance. The characteristic range for the onset of coherence is studied in detail as a function of model parameters.application/pdfengPhysical review. E, Statistical, nonlinear, and soft matter physics. Vol. 69, no. 2 (Feb. 2004), 026209, 11 p.CaosEstabilidadeSincronizacaoInducing coherence in networks of bistable maps by varying the interaction rangeEstrangeiroinfo: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:UFRGSORIGINAL000413183.pdf000413183.pdfTexto completo (inglês)application/pdf548666http://www.lume.ufrgs.br/bitstream/10183/101361/1/000413183.pdf484192f2c431a1012c66100924c7f9feMD51TEXT000413183.pdf.txt000413183.pdf.txtExtracted Texttext/plain42843http://www.lume.ufrgs.br/bitstream/10183/101361/2/000413183.pdf.txt33c32f46b53125f7de9687a13299c53fMD52THUMBNAIL000413183.pdf.jpg000413183.pdf.jpgGenerated Thumbnailimage/jpeg1976http://www.lume.ufrgs.br/bitstream/10183/101361/3/000413183.pdf.jpg1d3d6aa5cd62a81f91d260ed7359cc47MD5310183/1013612024-03-28 06:26:07.195548oai:www.lume.ufrgs.br:10183/101361Repositório de PublicaçõesPUBhttps://lume.ufrgs.br/oai/requestopendoar:2024-03-28T09:26:07Repositório Institucional da UFRGS - Universidade Federal do Rio Grande do Sul (UFRGS)false |
dc.title.pt_BR.fl_str_mv |
Inducing coherence in networks of bistable maps by varying the interaction range |
title |
Inducing coherence in networks of bistable maps by varying the interaction range |
spellingShingle |
Inducing coherence in networks of bistable maps by varying the interaction range Lind, Pedro Gonçalves Caos Estabilidade Sincronizacao |
title_short |
Inducing coherence in networks of bistable maps by varying the interaction range |
title_full |
Inducing coherence in networks of bistable maps by varying the interaction range |
title_fullStr |
Inducing coherence in networks of bistable maps by varying the interaction range |
title_full_unstemmed |
Inducing coherence in networks of bistable maps by varying the interaction range |
title_sort |
Inducing coherence in networks of bistable maps by varying the interaction range |
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 |
Caos Estabilidade Sincronizacao |
topic |
Caos Estabilidade Sincronizacao |
description |
Ordinarily, two different topologies have been used to model spatiotemporal chaos and to study complexity in networks of maps: one where sites interact only with nearest neighbors (e.g., the standard diffusive coupling) and one where sites interact with all sites in the network (global coupling). Here we investigate intermediate regimes considering the interaction range as a free tunable parameter. The synchronization behavior normally seen in globally coupled maps is found to set in for interaction ranges considerably smaller than the system size. In addition, we analytically derive stability conditions for the onset of coherent states ~full synchronization! from which the minimum interaction range needed to induce coherence in homogeneously coupled maps can be determined. Such conditions are also obtained for inhomogeneous situations when the coupling strength decreases linearly with the distance. The characteristic range for the onset of coherence is studied in detail as a function of model parameters. |
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 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10183/101361 |
dc.identifier.issn.pt_BR.fl_str_mv |
1539-3755 |
dc.identifier.nrb.pt_BR.fl_str_mv |
000413183 |
identifier_str_mv |
1539-3755 000413183 |
url |
http://hdl.handle.net/10183/101361 |
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. 2 (Feb. 2004), 026209, 11 p. |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
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application/pdf |
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Repositório Institucional da UFRGS |
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Repositório Institucional da UFRGS |
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