Enviar artigo por via de e-mail Structure of Phase Portraits of Nonlinear Dynamical Systems
- Autores: Golubyatnikov V.P.1,2, Kalenykh A.E.2
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Afiliações:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Edição: Volume 215, Nº 4 (2016)
- Páginas: 475-483
- Seção: 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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Resumo
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.
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 Av., Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090
A. Kalenykh
Novosibirsk State University
Email: glbtn@math.nsc.ru
Rússia, 2, ul. Pirogova, Novosibirsk, 630090
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