Structure of Phase Portraits of Nonlinear Dynamical Systems
- 作者: Golubyatnikov V.P.1,2, Kalenykh A.E.2
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隶属关系:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- 期: 卷 215, 编号 4 (2016)
- 页面: 475-483
- 栏目: Article
- URL: https://ogarev-online.ru/1072-3374/article/view/237626
- DOI: https://doi.org/10.1007/s10958-016-2852-8
- ID: 237626
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详细
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.
作者简介
V. Golubyatnikov
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
编辑信件的主要联系方式.
Email: glbtn@math.nsc.ru
俄罗斯联邦, 4, Akad. Koptyuga Av., Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090
A. Kalenykh
Novosibirsk State University
Email: glbtn@math.nsc.ru
俄罗斯联邦, 2, ul. Pirogova, Novosibirsk, 630090
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