Spectra of Local Cluster Flows on Open Chain of Contours

A dynamical system is considered. This dynamical system is a flow of clusters with the same length $l$ on contours of unit length connected into open chain. A similar system such that contours of this system are connected into closed chain was considered earlier. It has been found that, in the case...

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Bibliographic Details
Published in:European journal of pure and applied mathematics Vol. 11; no. 3; pp. 628 - 644
Main Authors: Buslaev, Alexander Pavlovich, Tatashev, Alexander G
Format: Journal Article
Language:English
Published: 31-07-2018
Online Access:Get full text
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Summary:A dynamical system is considered. This dynamical system is a flow of clusters with the same length $l$ on contours of unit length connected into open chain. A similar system such that contours of this system are connected into closed chain was considered earlier. It has been found that, in the case of closed chain of contours, the dynamical system has a spectrum of velocity and mode periodicity consisted of more than one component. In this paper, it has been shown that, in the case of open chain, the spectrum of cluster velocity and mode periodicity contains only one component.The conditions of self-organization and the dependence of cluster velocity on load $l$ is developed.
ISSN:1307-5543
1307-5543
DOI:10.29020/nybg.ejpam.v11i3.3292