Email this article Periodic two-cluster synchronization modes in completely connected genetic networks
- Authors: Glyzin S.D.1,2, Kolesov A.Y.1,2, Rozov N.K.1,2
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Affiliations:
- Lomonosov Moscow State University
- Yaroslavl State University
- Issue: Vol 52, No 2 (2016)
- Pages: 157-176
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/153641
- DOI: https://doi.org/10.1134/S0012266116020038
- ID: 153641
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Abstract
We consider nonlinear systems of differential-difference equations with delays that provide mathematical models for artificial complete genetic networks. We study problems of the existence and stability of special periodic motions referred to as two-cluster synchronization modes in these systems.
About the authors
S. D. Glyzin
Lomonosov Moscow State University; Yaroslavl State University
Author for correspondence.
Email: glyzin@uniyar.ac.ru
Russian Federation, Moscow; Yaroslavl
A. Yu. Kolesov
Lomonosov Moscow State University; Yaroslavl State University
Email: glyzin@uniyar.ac.ru
Russian Federation, Moscow; Yaroslavl
N. Kh. Rozov
Lomonosov Moscow State University; Yaroslavl State University
Email: glyzin@uniyar.ac.ru
Russian Federation, Moscow; Yaroslavl
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