Self-similarities of periodic structures for a discrete model of a two-gene system.

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dc.contributor.authorSouza, Silvio Luiz Thomaz de
dc.contributor.authorLima, Angélica Alves
dc.contributor.authorCaldas, Iberê Luiz
dc.contributor.authorTorricos, Rene Orlando Medrano
dc.contributor.authorGuimarães Filho, Zwinglio de Oliveira
dc.date.accessioned2014-11-14T19:27:56Z
dc.date.available2014-11-14T19:27:56Z
dc.date.issued2012
dc.description.abstractWe report self-similar properties of periodic structures remarkably organized in the two-parameter space for a two-gene system, described by two-dimensional symmetric map. The map consists of difference equations derived from the chemical reactions for gene expression and regulation. We characterize the system by using Lyapunov exponents and isoperiodic diagrams identifying periodic windows, denominated Arnold tongues and shrimp-shaped structures. Period-adding sequences are observed for both periodic windows. We also identify Fibonacci-type series and Golden ratio for Arnold tongues, and period multiple-of-three windows for shrimps.pt_BR
dc.identifier.citationSOUZA, S. L. T. et al. Self-similarities of periodic structures for a discrete model of a two-gene system. Physics Letters. A (Print), v. 376, p. 1290-1294, 2012. Disponível em: <https://www.sciencedirect.com/science/article/pii/S0375960112001715>. Acesso em: 20 ago. 2014.pt_BR
dc.identifier.doihttps://doi.org/10.1016/j.physleta.2012.02.036
dc.identifier.issn0375-9601
dc.identifier.urihttp://www.repositorio.ufop.br/handle/123456789/3869
dc.language.isoen_USpt_BR
dc.rights.licenseO periódico Physics Letters. A concede permissão para depósito deste artigo no Repositório Institucional da UFOP. Número da licença: 3456021433058.pt_BR
dc.subjectArnold tonguespt_BR
dc.subjectShrimpspt_BR
dc.subjectGolden ratiopt_BR
dc.subjectLyapunov exponentspt_BR
dc.subjectTwo-gene modelpt_BR
dc.titleSelf-similarities of periodic structures for a discrete model of a two-gene system.pt_BR
dc.typeArtigo publicado em periodicopt_BR
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