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.
|Number of pages||11|
|Journal||Journal of Applied Mathematics and Mechanics|
|Publication status||Published - 2008|
Bibliographical noteFunding 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.