Enviar artigo por via de e-mail Piecewise Linear Dynamical System Modeling Gene Network with Variable Feedback
- Autores: Golubyatnikov V.1,2, Kazantsev M.3
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Afiliações:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- I.I. Pozunov Altai State Technical University
- Edição: Volume 230, Nº 1 (2018)
- Páginas: 46-54
- Seção: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240603
- DOI: https://doi.org/10.1007/s10958-018-3725-0
- ID: 240603
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Resumo
We construct a discretization of the phase portrait of a 3-dimensional dynamical system of biochemical kinetics with piecewise linear right-hand sides. We describe geometry of the phase portrait and construct an invariant piecewise linear surface bounded by a stable cycle of this system composed of eight linear segments.
Sobre autores
V. Golubyatnikov
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Autor responsável pela correspondência
Email: glbtn@math.nsc.ru
Rússia, 4, Akad. Koptyuga pr., Novosibirsk, 630090; 1, Pirogova St., Novosibirsk, 630090
M. Kazantsev
I.I. Pozunov Altai State Technical University
Email: glbtn@math.nsc.ru
Rússia, 46, pr. Lenina, Barnaul, 656038
