Structure of Phase Portraits of Nonlinear Dynamical Systems
- Авторлар: Golubyatnikov V.1,2, Kalenykh A.2
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Мекемелер:
- Sobolev Institute of Mathematics SB RAS
- Novosibirsk State University
- Шығарылым: Том 215, № 4 (2016)
- Беттер: 475-483
- Бөлім: Article
- URL: https://journals.rcsi.science/1072-3374/article/view/237626
- DOI: https://doi.org/10.1007/s10958-016-2852-8
- ID: 237626
Дәйексөз келтіру
Аннотация
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.
Авторлар туралы
V. Golubyatnikov
Sobolev Institute of Mathematics SB RAS; Novosibirsk State University
Хат алмасуға жауапты Автор.
Email: glbtn@math.nsc.ru
Ресей, 4, Akad. Koptyuga Av., Novosibirsk, 630090; 2, ul. Pirogova, Novosibirsk, 630090
A. Kalenykh
Novosibirsk State University
Email: glbtn@math.nsc.ru
Ресей, 2, ul. Pirogova, Novosibirsk, 630090