Periodic two-cluster synchronization modes in completely connected genetic networks


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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.

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S. Glyzin

Lomonosov Moscow State University; Yaroslavl State University

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Email: glyzin@uniyar.ac.ru
俄罗斯联邦, Moscow; Yaroslavl

A. Kolesov

Lomonosov Moscow State University; Yaroslavl State University

Email: glyzin@uniyar.ac.ru
俄罗斯联邦, Moscow; Yaroslavl

N. Rozov

Lomonosov Moscow State University; Yaroslavl State University

Email: glyzin@uniyar.ac.ru
俄罗斯联邦, Moscow; Yaroslavl

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