Souza, Silvio Luiz Thomaz deLima, Angélica AlvesCaldas, Iberê LuizTorricos, Rene Orlando MedranoGuimarães Filho, Zwinglio de Oliveira2014-11-142014-11-142012SOUZA, 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. 2014.0375-9601http://www.repositorio.ufop.br/handle/123456789/3869We 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.en-USArnold tonguesShrimpsGolden ratioLyapunov exponentsTwo-gene modelArtigo publicado em periodicoO periódico Physics Letters. A concede permissão para depósito deste artigo no Repositório Institucional da UFOP. Número da licença: 3456021433058.https://doi.org/10.1016/j.physleta.2012.02.036