@article{8b59a2a268374c1fb0b9e700c233d82b,
title = "On uniqueness and stability of a cycle in one gene network",
abstract = "We describe necessary and suffcient conditions for uniqueness and stability of a cycle in an invariant domain of phase portrait of one Glass-Pasternack type block-linear dynamical system that simulates functioning of one natural gene network. Existence of such a cycle, geometry and combinatorics of phase portraits of similar systems were studied in our previous publications.",
keywords = "circular gene network, cycles, fixed points, invariant domains, phase portraits, piecewise linear dynamical systems, Poincare map",
author = "Golubyatnikov, {V. P.} and Minushkina, {L. S.}",
note = "Funding Information: The authors are indebted to I.I.Matveeva, V.V.Ivanov, S.A.Kantor, and unknown referee for helpful discussions and critical comments. The work was partially supported by by the Program of fundamental scientific researches of the SB RAS N I.1.5., project N 0314-2019-0011. Publisher Copyright: {\textcopyright} 2021 Golubyatnikov V.P., Minushkina L.S. All Rights Reserved.",
year = "2021",
doi = "10.33048/semi.2021.18.032",
language = "English",
volume = "18",
pages = "464--473",
journal = "Сибирские электронные математические известия",
issn = "1813-3304",
publisher = "Sobolev Institute of Mathematics",
number = "1",
}