Cluster dynamics of a uniform chain of dissipatively coupled rotators

N. N. Verichev; S.N. Verichev; V. I. Yerofeyev

doi:10.1016/j.jappmathmech.2009.01.014

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 journal › Article › Scientific › peer-review

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.

Original language	English
Pages (from-to)	638-648
Number of pages	11
Journal	Journal of Applied Mathematics and Mechanics
Volume	72
Issue number	6
DOIs	https://doi.org/10.1016/j.jappmathmech.2009.01.014
Publication status	Published - 2008
Externally published	Yes

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10.1016/j.jappmathmech.2009.01.014

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title = "Cluster dynamics of a uniform chain of dissipatively coupled rotators",

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.",

author = "Verichev, {N. N.} and S.N. Verichev and Yerofeyev, {V. I.}",

year = "2008",

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T1 - Cluster dynamics of a uniform chain of dissipatively coupled rotators

AU - Verichev, N. N.

AU - Verichev, S.N.

AU - Yerofeyev, V. I.

PY - 2008

Y1 - 2008

N2 - 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.

AB - 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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U2 - 10.1016/j.jappmathmech.2009.01.014

DO - 10.1016/j.jappmathmech.2009.01.014

M3 - Article

AN - SCOPUS:61449240922

SN - 0021-8928

VL - 72

SP - 638

EP - 648

JO - Journal of Applied Mathematics and Mechanics

JF - Journal of Applied Mathematics and Mechanics

IS - 6

ER -

Cluster dynamics of a uniform chain of dissipatively coupled rotators

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