Cycles in the Odd-Dimensional Models of Circular Gene Networks
- Autores: Golubyatnikov V.1, Ivanov V.1
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Afiliações:
- Sobolev Institute of Mathematics
- Edição: Volume 12, Nº 4 (2018)
- Páginas: 648-657
- Seção: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213113
- DOI: https://doi.org/10.1134/S1990478918040051
- ID: 213113
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Resumo
The necessary and sufficient conditions are obtained for the existence of a cycle in an odd-dimensional nonlinear dynamical system that simulates the functioning of the simplest circular gene network. An invariant neighborhood of this cycle is described which is homeomorphic to a torus.
Sobre autores
V. Golubyatnikov
Sobolev Institute of Mathematics
Autor responsável pela correspondência
Email: glbtn@math.nsc.ru
Rússia, pr. Akad. Koptyuga 4, Novosibirsk, 630090
V. Ivanov
Sobolev Institute of Mathematics
Email: glbtn@math.nsc.ru
Rússia, pr. Akad. Koptyuga 4, Novosibirsk, 630090