@article{35352cd959a742359e4a3e2e2991986d,
title = "On Uniqueness of a Cycle in One Circular Gene Network Model",
abstract = "We obtain conditions for uniqueness of a cycle in the phase portraitof a piecewise linear dynamical systemof the Elowitz–Leibler typewhich simulates the functioning of a simplest circular gene network.We describe the behavior of trajectories of this systemin the invariant toric neighborhood of the cycle.",
keywords = "514.745.82, block-linear dynamical system, circular gene network, cycle, fixed point, invariant domain, Poincar{\'e} map, positive and negative feedbacks",
author = "Golubyatnikov, {V. P.} and Minushkina, {L. S.}",
note = "Funding Information: The authors are sincerely grateful to V.V. Ivanov and an anonymous referee for their useful advice and critical remarks. Publisher Copyright: {\textcopyright} 2022, Pleiades Publishing, Ltd.",
year = "2022",
month = jan,
doi = "10.1134/S0037446622010062",
language = "English",
volume = "63",
pages = "79--86",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "MAIK NAUKA/INTERPERIODICA/SPRINGER",
number = "1",
}