Email this article Structure of Phase Portraits of Nonlinear Dynamical Systems
- Authors: Golubyatnikov V.P.1,2, Kalenykh A.E.2
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Affiliations:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Issue: Vol 215, No 4 (2016)
- Pages: 475-483
- Section: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237626
- DOI: https://doi.org/10.1007/s10958-016-2852-8
- ID: 237626
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Abstract
We consider phase portraits of some piecewise linear dynamical systems of chemical kinetics. We construct an invariant piecewise linear surface that consists of eight planar polygons and is formed by the trajectories which do not enter the attraction basin of a stable cycle. We prove that the dynamical system does not have cycles on this surface. Bibliography: 26 titles. Illustrations: 1 figure.
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 Av., Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090
A. E. Kalenykh
Novosibirsk State University
Email: glbtn@math.nsc.ru
Russian Federation, 2, ul. Pirogova, Novosibirsk, 630090
