Cluster dynamics of a uniform chain of dissipatively coupled rotators

N. N. Verichev*, S. N. Verichev, V. I. Yerofeyev

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review


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.

Original languageEnglish
Pages (from-to)638-648
Number of pages11
JournalJournal of Applied Mathematics and Mechanics
Issue number6
Publication statusPublished - 2008

Bibliographical note

Funding Information:
This research was partially financed by the Russian Foundation for Basic Research (06-08-00520 and 06-02-17158).

Copyright 2009 Elsevier B.V., All rights reserved.


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