 | | 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) |
Archive of Issues
| Total articles in the database: | | 10512 |
| In Russian (ΟΜΜ): | | 9713
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| 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 |
| Link to Fulltext |
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