Enviar artigo por via de e-mail Structure of the Phase Portrait of a Piecewise-Linear Dynamical System
- Autores: Ayupova N.1,2, Golubyatnikov V.1,3
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Afiliações:
- Sobolev Institute of Mathematics
- Novosibirsk State University
- Yakovlev Novosibirsk Military Institute
- Edição: Volume 13, Nº 4 (2019)
- Páginas: 606-611
- Seção: Article
- URL: https://journals.rcsi.science/1990-4789/article/view/213259
- DOI: https://doi.org/10.1134/S1990478919040033
- ID: 213259
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Resumo
We consider some piecewise linear 4-dimensional dynamical system that models a gene network regulated by one negative feedback and three positive feedbacks. Glass and Pasternack described the conditions for the existence of a stable cycle in this model. We construct an invariant piecewise linear surface with nontrivial link with the Glass-Pasternack cycle outside the attraction domain of this stable cycle in the phase portrait of this system.
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Sobre autores
N. Ayupova
Sobolev Institute of Mathematics; Novosibirsk State University
Autor responsável pela correspondência
Email: ayupova@math.nsc.ru
Rússia, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Pirogova 1, Novosibirsk, 630090
V. Golubyatnikov
Sobolev Institute of Mathematics; Yakovlev Novosibirsk Military Institute
Autor responsável pela correspondência
Email: glbtn@math.nsc.ru
Rússia, pr. Akad. Koptyuga 4, Novosibirsk, 630090; ul. Kluch-Kamyshenskoe Plato 6/2, Novosibirsk, 630114
