Email this article Piecewise Linear Dynamical System Modeling Gene Network with Variable Feedback
- Authors: Golubyatnikov V.P.1,2, Kazantsev M.V.3
-
Affiliations:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- I.I. Pozunov Altai State Technical University
- Issue: Vol 230, No 1 (2018)
- Pages: 46-54
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/240603
- DOI: https://doi.org/10.1007/s10958-018-3725-0
- ID: 240603
Cite item
Open Access
Access granted
Subscription Access
Abstract
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.
About the authors
V. P. Golubyatnikov
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Author for correspondence.
Email: glbtn@math.nsc.ru
Russian Federation, 4, Akad. Koptyuga pr., Novosibirsk, 630090; 1, Pirogova St., Novosibirsk, 630090
M. V. Kazantsev
I.I. Pozunov Altai State Technical University
Email: glbtn@math.nsc.ru
Russian Federation, 46, pr. Lenina, Barnaul, 656038
