Piecewise Linear Dynamical System Modeling Gene Network with Variable Feedback

V. P. Golubyatnikov; M. V. Kazantsev

doi:10.1007/s10958-018-3725-0

Piecewise Linear Dynamical System Modeling Gene Network with Variable Feedback

V. P. Golubyatnikov, M. V. Kazantsev

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

2 Цитирования (Scopus)

Аннотация

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.

Язык оригинала	английский
Страницы (с-по)	46-54
Число страниц	9
Журнал	Journal of Mathematical Sciences (United States)
Том	230
Номер выпуска	1
DOI	https://doi.org/10.1007/s10958-018-3725-0
Состояние	Опубликовано - 1 апр. 2018

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10.1007/s10958-018-3725-0

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Piecewise Linear Dynamical System Modeling Gene Network with Variable Feedback. / Golubyatnikov, V. P.; Kazantsev, M. V.

В: Journal of Mathematical Sciences (United States), Том 230, № 1, 01.04.2018, стр. 46-54.

Результат исследования: Научные публикации в периодических изданиях › статья › рецензирование

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AB - 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.

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Piecewise Linear Dynamical System Modeling Gene Network with Variable Feedback

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