Buffering in cyclic gene networks


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We consider cyclic chains of unidirectionally coupled delay differential–difference equations that are mathematical models of artificial oscillating gene networks. We establish that the buffering phenomenon is realized in these system for an appropriate choice of the parameters: any given finite number of stable periodic motions of a special type, the so-called traveling waves, coexist.

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S. Glyzin

Demidov Yaroslavl State University

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

A. Kolesov

Demidov Yaroslavl State University

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

N. Rozov

Lomonosov Moscow State University

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

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