Cluster dynamics of a uniform chain of dissipatively coupled rotators

Verichev, N; Verichev, Stanislav; Yerofeyev, Vladimir

Cluster dynamics of a uniform chain of dissipatively coupled rotators

Journal article (2008)

Authors

N Verichev Nizhnii Novgorod

Stanislav Verichev Nizhnii Novgorod

Vladimir Yerofeyev Nizhnii Novgorod

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Published Date

2008

Language

English

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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.

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