Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version)

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IssuesArchive of Issues2008-6pp.638-648

Archive of Issues

Total articles in the database: 10482
In Russian (ΟΜΜ): 9683
In English (J. Appl. Math. Mech.): 799

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N.N. Verichev, S.N. Verichev, and V.I. Yerofeyev, "Cluster dynamics of a uniform chain of dissipatively coupled rotators," J. Appl. Math. Mech. 72 (6), 638-648 (2008)
Year 2008 Volume 72 Issue 6 Pages 638-648
Title Cluster dynamics of a uniform chain of dissipatively coupled rotators
Author(s) N.N. Verichev (Nizhnii Novgorod, Russia)
S.N. Verichev (Nizhnii Novgorod, Russia, s_veritchev@front.ru)
V.I. Yerofeyev (Nizhnii Novgorod, Russia, erf04@sinn.ru)
Abstract The existence and stability of stationary cluster structures in uniform chains of dissipatively coupled rotators is investigated. Cluster synchronization is interpreted as the classical synchronization of cluster rotators, which are elementary structure-forming objects. The complete set of types of cluster rotators and simple cells is defined. This definition is equivalent to the definition of the complete set of types of cluster structures. The completeness of this set is proved. The problem of the stability of cluster structures is solved. Physical examples of chains of rotators and a physical interpretation of the results of this research are given.
Received 03 May 2007
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