Self-similarities of periodic structures for a discrete model of a two-gene system
| Contribuinte(s) |
UNIVERSIDADE DE SÃO PAULO |
|---|---|
| Data(s) |
07/11/2013
07/11/2013
2012
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| Resumo |
We 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. (C) 2012 Elsevier B.V. All rights reserved. Brazilian government agency FAPESP Brazilian government agency FAPESP Brazilian government agency CNPq Brazilian government agency CNPq Brazilian government agency CAPES Brazilian government agency CAPES |
| Identificador |
PHYSICS LETTERS A, AMSTERDAM, v. 376, n. 15, supl. 1, Part 1, pp. 1290-1294, 40969, 2012 0375-9601 http://www.producao.usp.br/handle/BDPI/42917 10.1016/j.physleta.2012.02.036 |
| Idioma(s) |
eng |
| Publicador |
ELSEVIER SCIENCE BV AMSTERDAM |
| Relação |
PHYSICS LETTERS A |
| Direitos |
closedAccess Copyright ELSEVIER SCIENCE BV |
| Palavras-Chave | #ARNOLD TONGUES #SHRIMPS #GOLDEN RATIO #LYAPUNOV EXPONENTS #TWO-GENE MODEL #PARAMETER SPACE #IMPACT OSCILLATOR #HENON-MAP #CHAOS #DYNAMICS #PHYSICS, MULTIDISCIPLINARY |
| Tipo |
article original article publishedVersion |
