Junctions and spiral patterns in generalized rock-paper-scissors models
Autor(a) principal: | |
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Data de Publicação: | 2012 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRN |
Texto Completo: | https://repositorio.ufrn.br/jspui/handle/123456789/29900 |
Resumo: | We investigate the population dynamics in generalized rock-paper-scissors models with an arbitrary number of species N. We show that spiral patterns with N arms may develop both for odd and even N, in particular in models where a bidirectional predation interaction of equal strength between all species is modified to include one N-cyclic predator-prey rule. While the former case gives rise to an interface network with Y-type junctions obeying the scaling law L ∝ t 1/2, where L is the characteristic length of the network and t is the time, the latter can lead to a population network with N-armed spiral patterns, having a roughly constant characteristic length scale. We explicitly demonstrate the connection between interface junctions and spiral patterns in these models and compute the corresponding scaling laws. This work significantly extends the results of previous studies of population dynamics and could have profound implications for the understanding of biological complexity in systems with a large number of species |
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Avelino, P. P.Bazeia, D.Losano, L.Silva, Josenildo Menezes daOliveira, B. F.2020-08-26T18:09:49Z2020-08-26T18:09:49Z2012AVELINO, P. P.; BAZEIA, D.; LOSANO, L.; MENEZES, J.; OLIVEIRA, B. F.. Junctions and spiral patterns in generalized rock-paper-scissors models. Physical Review E, [s.l.], v. 86, n. 3, p. 036112, 17 set. 2012. Disponível em: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.86.036112. Acesso em: 21 ago. 2020. http://dx.doi.org/10.1103/physreve.86.036112.2470-0045https://repositorio.ufrn.br/jspui/handle/123456789/2990010.1103/physreve.86.036112.American Physical SocietyRock-paper-scissors modelsJunctions and spiral patterns in generalized rock-paper-scissors modelsinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleWe investigate the population dynamics in generalized rock-paper-scissors models with an arbitrary number of species N. We show that spiral patterns with N arms may develop both for odd and even N, in particular in models where a bidirectional predation interaction of equal strength between all species is modified to include one N-cyclic predator-prey rule. While the former case gives rise to an interface network with Y-type junctions obeying the scaling law L ∝ t 1/2, where L is the characteristic length of the network and t is the time, the latter can lead to a population network with N-armed spiral patterns, having a roughly constant characteristic length scale. We explicitly demonstrate the connection between interface junctions and spiral patterns in these models and compute the corresponding scaling laws. This work significantly extends the results of previous studies of population dynamics and could have profound implications for the understanding of biological complexity in systems with a large number of speciesengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessTEXTJunctionsSpiralPatterns_SILVA_2012.pdf.txtJunctionsSpiralPatterns_SILVA_2012.pdf.txtExtracted texttext/plain20516https://repositorio.ufrn.br/bitstream/123456789/29900/5/JunctionsSpiralPatterns_SILVA_2012.pdf.txtbd34b7de2b6358ff0d21994bf30e15d2MD55THUMBNAILJunctionsSpiralPatterns_SILVA_2012.pdf.jpgJunctionsSpiralPatterns_SILVA_2012.pdf.jpgGenerated Thumbnailimage/jpeg1751https://repositorio.ufrn.br/bitstream/123456789/29900/6/JunctionsSpiralPatterns_SILVA_2012.pdf.jpg693876bca8133dfc4b3c3afe9d031da5MD56ORIGINALJunctionsSpiralPatterns_SILVA_2012.pdfJunctionsSpiralPatterns_SILVA_2012.pdfapplication/pdf3037500https://repositorio.ufrn.br/bitstream/123456789/29900/3/JunctionsSpiralPatterns_SILVA_2012.pdf230e2108fa7d7f9759cda9dfbc1777faMD53LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/29900/4/license.txte9597aa2854d128fd968be5edc8a28d9MD54123456789/299002020-08-30 04:49:12.256oai:https://repositorio.ufrn.br:123456789/29900Tk9OLUVYQ0xVU0lWRSBESVNUUklCVVRJT04gTElDRU5TRQoKCkJ5IHNpZ25pbmcgYW5kIGRlbGl2ZXJpbmcgdGhpcyBsaWNlbnNlLCBNci4gKGF1dGhvciBvciBjb3B5cmlnaHQgaG9sZGVyKToKCgphKSBHcmFudHMgdGhlIFVuaXZlcnNpZGFkZSBGZWRlcmFsIFJpbyBHcmFuZGUgZG8gTm9ydGUgdGhlIG5vbi1leGNsdXNpdmUgcmlnaHQgb2YKcmVwcm9kdWNlLCBjb252ZXJ0IChhcyBkZWZpbmVkIGJlbG93KSwgY29tbXVuaWNhdGUgYW5kIC8gb3IKZGlzdHJpYnV0ZSB0aGUgZGVsaXZlcmVkIGRvY3VtZW50IChpbmNsdWRpbmcgYWJzdHJhY3QgLyBhYnN0cmFjdCkgaW4KZGlnaXRhbCBvciBwcmludGVkIGZvcm1hdCBhbmQgaW4gYW55IG1lZGl1bS4KCmIpIERlY2xhcmVzIHRoYXQgdGhlIGRvY3VtZW50IHN1Ym1pdHRlZCBpcyBpdHMgb3JpZ2luYWwgd29yaywgYW5kIHRoYXQKeW91IGhhdmUgdGhlIHJpZ2h0IHRvIGdyYW50IHRoZSByaWdodHMgY29udGFpbmVkIGluIHRoaXMgbGljZW5zZS4gRGVjbGFyZXMKdGhhdCB0aGUgZGVsaXZlcnkgb2YgdGhlIGRvY3VtZW50IGRvZXMgbm90IGluZnJpbmdlLCBhcyBmYXIgYXMgaXQgaXMKdGhlIHJpZ2h0cyBvZiBhbnkgb3RoZXIgcGVyc29uIG9yIGVudGl0eS4KCmMpIElmIHRoZSBkb2N1bWVudCBkZWxpdmVyZWQgY29udGFpbnMgbWF0ZXJpYWwgd2hpY2ggZG9lcyBub3QKcmlnaHRzLCBkZWNsYXJlcyB0aGF0IGl0IGhhcyBvYnRhaW5lZCBhdXRob3JpemF0aW9uIGZyb20gdGhlIGhvbGRlciBvZiB0aGUKY29weXJpZ2h0IHRvIGdyYW50IHRoZSBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkbyBSaW8gR3JhbmRlIGRvIE5vcnRlIHRoZSByaWdodHMgcmVxdWlyZWQgYnkgdGhpcyBsaWNlbnNlLCBhbmQgdGhhdCB0aGlzIG1hdGVyaWFsIHdob3NlIHJpZ2h0cyBhcmUgb2YKdGhpcmQgcGFydGllcyBpcyBjbGVhcmx5IGlkZW50aWZpZWQgYW5kIHJlY29nbml6ZWQgaW4gdGhlIHRleHQgb3IKY29udGVudCBvZiB0aGUgZG9jdW1lbnQgZGVsaXZlcmVkLgoKSWYgdGhlIGRvY3VtZW50IHN1Ym1pdHRlZCBpcyBiYXNlZCBvbiBmdW5kZWQgb3Igc3VwcG9ydGVkIHdvcmsKYnkgYW5vdGhlciBpbnN0aXR1dGlvbiBvdGhlciB0aGFuIHRoZSBVbml2ZXJzaWRhZGUgRmVkZXJhbCBkbyBSaW8gR3JhbmRlIGRvIE5vcnRlLCBkZWNsYXJlcyB0aGF0IGl0IGhhcyBmdWxmaWxsZWQgYW55IG9ibGlnYXRpb25zIHJlcXVpcmVkIGJ5IHRoZSByZXNwZWN0aXZlIGFncmVlbWVudCBvciBhZ3JlZW1lbnQuCgpUaGUgVW5pdmVyc2lkYWRlIEZlZGVyYWwgZG8gUmlvIEdyYW5kZSBkbyBOb3J0ZSB3aWxsIGNsZWFybHkgaWRlbnRpZnkgaXRzIG5hbWUgKHMpIGFzIHRoZSBhdXRob3IgKHMpIG9yIGhvbGRlciAocykgb2YgdGhlIGRvY3VtZW50J3MgcmlnaHRzCmRlbGl2ZXJlZCwgYW5kIHdpbGwgbm90IG1ha2UgYW55IGNoYW5nZXMsIG90aGVyIHRoYW4gdGhvc2UgcGVybWl0dGVkIGJ5CnRoaXMgbGljZW5zZQo=Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2020-08-30T07:49:12Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false |
dc.title.pt_BR.fl_str_mv |
Junctions and spiral patterns in generalized rock-paper-scissors models |
title |
Junctions and spiral patterns in generalized rock-paper-scissors models |
spellingShingle |
Junctions and spiral patterns in generalized rock-paper-scissors models Avelino, P. P. Rock-paper-scissors models |
title_short |
Junctions and spiral patterns in generalized rock-paper-scissors models |
title_full |
Junctions and spiral patterns in generalized rock-paper-scissors models |
title_fullStr |
Junctions and spiral patterns in generalized rock-paper-scissors models |
title_full_unstemmed |
Junctions and spiral patterns in generalized rock-paper-scissors models |
title_sort |
Junctions and spiral patterns in generalized rock-paper-scissors models |
author |
Avelino, P. P. |
author_facet |
Avelino, P. P. Bazeia, D. Losano, L. Silva, Josenildo Menezes da Oliveira, B. F. |
author_role |
author |
author2 |
Bazeia, D. Losano, L. Silva, Josenildo Menezes da Oliveira, B. F. |
author2_role |
author author author author |
dc.contributor.author.fl_str_mv |
Avelino, P. P. Bazeia, D. Losano, L. Silva, Josenildo Menezes da Oliveira, B. F. |
dc.subject.por.fl_str_mv |
Rock-paper-scissors models |
topic |
Rock-paper-scissors models |
description |
We investigate the population dynamics in generalized rock-paper-scissors models with an arbitrary number of species N. We show that spiral patterns with N arms may develop both for odd and even N, in particular in models where a bidirectional predation interaction of equal strength between all species is modified to include one N-cyclic predator-prey rule. While the former case gives rise to an interface network with Y-type junctions obeying the scaling law L ∝ t 1/2, where L is the characteristic length of the network and t is the time, the latter can lead to a population network with N-armed spiral patterns, having a roughly constant characteristic length scale. We explicitly demonstrate the connection between interface junctions and spiral patterns in these models and compute the corresponding scaling laws. This work significantly extends the results of previous studies of population dynamics and could have profound implications for the understanding of biological complexity in systems with a large number of species |
publishDate |
2012 |
dc.date.issued.fl_str_mv |
2012 |
dc.date.accessioned.fl_str_mv |
2020-08-26T18:09:49Z |
dc.date.available.fl_str_mv |
2020-08-26T18:09:49Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.citation.fl_str_mv |
AVELINO, P. P.; BAZEIA, D.; LOSANO, L.; MENEZES, J.; OLIVEIRA, B. F.. Junctions and spiral patterns in generalized rock-paper-scissors models. Physical Review E, [s.l.], v. 86, n. 3, p. 036112, 17 set. 2012. Disponível em: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.86.036112. Acesso em: 21 ago. 2020. http://dx.doi.org/10.1103/physreve.86.036112. |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/jspui/handle/123456789/29900 |
dc.identifier.issn.none.fl_str_mv |
2470-0045 |
dc.identifier.doi.none.fl_str_mv |
10.1103/physreve.86.036112. |
identifier_str_mv |
AVELINO, P. P.; BAZEIA, D.; LOSANO, L.; MENEZES, J.; OLIVEIRA, B. F.. Junctions and spiral patterns in generalized rock-paper-scissors models. Physical Review E, [s.l.], v. 86, n. 3, p. 036112, 17 set. 2012. Disponível em: https://journals.aps.org/pre/abstract/10.1103/PhysRevE.86.036112. Acesso em: 21 ago. 2020. http://dx.doi.org/10.1103/physreve.86.036112. 2470-0045 10.1103/physreve.86.036112. |
url |
https://repositorio.ufrn.br/jspui/handle/123456789/29900 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.publisher.none.fl_str_mv |
American Physical Society |
publisher.none.fl_str_mv |
American Physical Society |
dc.source.none.fl_str_mv |
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