Spectra of Local Cluster Flows on Open Chain of Contours

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i3.3292

Keywords:

Dynamical System, Spectrum, Self-Organization, Contour Graph, Cluster Model

Abstract

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.

Author Biographies

  • Alexander Pavlovich Buslaev, Moscow Avtomobile & Road State Tech. Univ.
    Head of Higher Mathematics Department
  • Alexander G Tatashev, MADI
    High Mathematics Department

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Published

2018-07-31

Issue

Vol. 11 No. 3: (July 2018)

Section

Mathematical Analysis

License

Upon acceptance of an article by the journal, the author(s) accept(s) the transfer of copyright of the article to European Journal of Pure and Applied Mathematics.

European Journal of Pure and Applied Mathematics will be Copyright Holder.

How to Cite

Spectra of Local Cluster Flows on Open Chain of Contours. (2018). European Journal of Pure and Applied Mathematics, 11(3), 628-644. https://doi.org/10.29020/nybg.ejpam.v11i3.3292