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

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MetadadosDescriçãoIdioma
Autor(es): dc.creatorSouza, Silvio Luiz Thomaz de-
Autor(es): dc.creatorLima, Angélica Alves-
Autor(es): dc.creatorCaldas, Iberê Luiz-
Autor(es): dc.creatorTorricos, Rene Orlando Medrano-
Autor(es): dc.creatorGuimarães Filho, Zwinglio de Oliveira-
Data de aceite: dc.date.accessioned2019-11-06T13:31:08Z-
Data de disponibilização: dc.date.available2019-11-06T13:31:08Z-
Data de envio: dc.date.issued2014-11-14-
Data de envio: dc.date.issued2014-11-14-
Data de envio: dc.date.issued2012-
Fonte completa do material: dc.identifierhttp://www.repositorio.ufop.br/handle/123456789/3869-
Fonte: dc.identifier.urihttp://educapes.capes.gov.br/handle/capes/557052-
Descrição: dc.descriptionWe 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.-
Idioma: dc.languageen-
Direitos: dc.rightsO Periódico Physics Letters. A concede permissão para depósito deste artigo no Repositório Institucional da UFOP. Número da licença: 3456021433058.-
Palavras-chave: dc.subjectArnold tongues-
Palavras-chave: dc.subjectShrimps-
Palavras-chave: dc.subjectGolden ratio-
Palavras-chave: dc.subjectLyapunov exponents-
Palavras-chave: dc.subjectTwo-gene model-
Título: dc.titleSelf-similarities of periodic structures for a discrete model of a two-gene system.-
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