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Hidden attractors and nonlocal oscillations in gene networks models Full article

Journal Russian Journal of Numerical Analysis and Mathematical Modelling
ISSN: 0927-6467 , E-ISSN: 1569-3988
Output data Year: 2024, Volume: 39, Number: 2, Pages: 75-81 Pages count : 7 DOI: 10.1515/rnam-2024-0007
Tags Phase portraits, multi-step functions, periodic trajectories, equilibrium points, hidden attractors, nonlocal oscillations, gene network models
Authors Golubyatnikov Vladimir P. 1 , Ayupova Natalia B. 1 , Bondarenko Natalia E. 1 , Glubokikh Alina V. 1
Affiliations
1 Novosibirsk State University

Funding (1)

1 Russian Science Foundation 23-21-00019

Abstract: We study periodic trajectories of nonlinear dynamical systems considered as models of the simplest molecular repressilator. In the phase portraits of these systems, we find hidden attractors and nonlocal oscillations. The cases of nonuniqueness of cycles in these portraits are described as well.
Cite: Golubyatnikov V.P. , Ayupova N.B. , Bondarenko N.E. , Glubokikh A.V.
Hidden attractors and nonlocal oscillations in gene networks models
Russian Journal of Numerical Analysis and Mathematical Modelling. 2024. V.39. N2. P.75-81. DOI: 10.1515/rnam-2024-0007 WOS Scopus РИНЦ OpenAlex
Dates:
Submitted: Feb 16, 2024
Accepted: Feb 20, 2024
Published print: Apr 8, 2024
Published online: Apr 8, 2024
Identifiers:
Web of science: WOS:001198333200002
Scopus: 2-s2.0-85190514987
Elibrary: 66926916
OpenAlex: W4394569070
Citing:
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