On Flows Spectrum on Closed Trio of Contours with Uniform Load

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v11i1.3201

Keywords:

Dynamical System, Spectrum, Self-organization, Contour Graph, Collapse, Cluster Model

Abstract

Considered dynamical system is a flow of clusters with the same length $l$ on contours of unit length
connected in polar-remote points into closed chain.
When clusters move trough common node, the left-priority rule of conflict resolution works.

In the paper it is shown that in the case of chain consisted third contours
the dynamical system has a spectrum of velocity and mode periodicity consisted on not more two components.

Distribution of spectrum in dependence on load $l$ is developed.
Hypothesis on discrete spectrum in the case of arbitrary number of contours are formulated.

Author Biographies

  • Alexander Pavlovich Buslaev, Moscow Avtomobile and Road Construction State Technical University
    Head of Higher Mathematics Department
  • Alexander Gennadjevich Tatashev, Moscow Technical University of Communications and Informatics
    Professor of Department of Mathematical Cybernetics and IT, Faculty of Information Technology
  • Marina Victorovna Yashina, Moscow Technical University of Communications and Informatics
    Head of Department of Mathematical Cybernetics and IT, Faculty of Information Technology

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Published

2018-01-30

Issue

Vol. 11 No. 1: (January 2018)

Section

Mathematical Analysis

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How to Cite

On Flows Spectrum on Closed Trio of Contours with Uniform Load. (2018). European Journal of Pure and Applied Mathematics, 11(1), 260-283. https://doi.org/10.29020/nybg.ejpam.v11i1.3201