Structure of Phase Portraits of Nonlinear Dynamical Systems


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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.

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V. Golubyatnikov

Sobolev Institute of Mathematics SB RAS; Novosibirsk State University

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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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