On Cycles in Models of Functioning of Circular Gene Networks

V. P. Golubyatnikov; N. E. Kirillova

doi:10.1007/s10958-020-04780-7

On Cycles in Models of Functioning of Circular Gene Networks

V. P. Golubyatnikov, N. E. Kirillova

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

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Аннотация

We study the phase portrait of a nonlinear 10-dimensional dynamical system that simulates the functioning of one circular gene network. We find sufficient conditions for the existence of a cycle in the phase portrait. For a similar 18-dimensional dynamical system we obtain conditions for the existence of at least two cycles in the phase portrait.

Язык оригинала	английский
Страницы (с-по)	779-787
Число страниц	9
Журнал	Journal of Mathematical Sciences (United States)
Том	246
Номер выпуска	6
DOI	https://doi.org/10.1007/s10958-020-04780-7
Состояние	Опубликовано - 1 мая 2020

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On Cycles in Models of Functioning of Circular Gene Networks. / Golubyatnikov, V. P.; Kirillova, N. E.

В: Journal of Mathematical Sciences (United States), Том 246, № 6, 01.05.2020, стр. 779-787.

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

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AB - We study the phase portrait of a nonlinear 10-dimensional dynamical system that simulates the functioning of one circular gene network. We find sufficient conditions for the existence of a cycle in the phase portrait. For a similar 18-dimensional dynamical system we obtain conditions for the existence of at least two cycles in the phase portrait.

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On Cycles in Models of Functioning of Circular Gene Networks

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