Piecewise Linear Dynamical System Modeling Gene Network with Variable Feedback


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详细

We construct a discretization of the phase portrait of a 3-dimensional dynamical system of biochemical kinetics with piecewise linear right-hand sides. We describe geometry of the phase portrait and construct an invariant piecewise linear surface bounded by a stable cycle of this system composed of eight linear segments.

作者简介

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 pr., Novosibirsk, 630090; 1, Pirogova St., Novosibirsk, 630090

M. Kazantsev

I.I. Pozunov Altai State Technical University

Email: glbtn@math.nsc.ru
俄罗斯联邦, 46, pr. Lenina, Barnaul, 656038


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