Email this article Cycles in the Odd-Dimensional Models of Circular Gene Networks
- Authors: Golubyatnikov V.P.1, Ivanov V.V.1
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Affiliations:
- Sobolev Institute of Mathematics
- Issue: Vol 12, No 4 (2018)
- Pages: 648-657
- Section: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213113
- DOI: https://doi.org/10.1134/S1990478918040051
- ID: 213113
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Abstract
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.
About the authors
V. P. Golubyatnikov
Sobolev Institute of Mathematics
Author for correspondence.
Email: glbtn@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090
V. V. Ivanov
Sobolev Institute of Mathematics
Email: glbtn@math.nsc.ru
Russian Federation, pr. Akad. Koptyuga 4, Novosibirsk, 630090
