Junctions and spiral patterns in generalized rock-paper-scissors models

Avelino, P. P.; Bazeia, D.; Losano, L.; Silva, Josenildo Menezes da; Oliveira, B. F.

Junctions and spiral patterns in generalized rock-paper-scissors models

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dc.contributor.author	Avelino, P. P.
dc.contributor.author	Bazeia, D.
dc.contributor.author	Losano, L.
dc.contributor.author	Silva, Josenildo Menezes da
dc.contributor.author	Oliveira, B. F.
dc.date.accessioned	2020-08-26T18:09:49Z
dc.date.available	2020-08-26T18:09:49Z
dc.date.issued	2012
dc.description.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	pt_BR
dc.identifier.citation	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.	pt_BR
dc.identifier.doi	10.1103/physreve.86.036112.
dc.identifier.issn	2470-0045
dc.identifier.uri	https://repositorio.ufrn.br/jspui/handle/123456789/29900
dc.language	en	pt_BR
dc.publisher	American Physical Society	pt_BR
dc.subject	Rock-paper-scissors models	pt_BR
dc.title	Junctions and spiral patterns in generalized rock-paper-scissors models	pt_BR
dc.type	article	pt_BR