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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.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - On Cycles in Models of Functioning of Circular Gene Networks
AU - Golubyatnikov, V. P.
AU - Kirillova, N. E.
PY - 2020/5/1
Y1 - 2020/5/1
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=85082925206&partnerID=8YFLogxK
U2 - 10.1007/s10958-020-04780-7
DO - 10.1007/s10958-020-04780-7
M3 - Article
AN - SCOPUS:85082925206
VL - 246
SP - 779
EP - 787
JO - Journal of Mathematical Sciences (United States)
JF - Journal of Mathematical Sciences (United States)
SN - 1072-3374
IS - 6
ER -
ID: 23996136