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

Downloads

Published

2018-07-31

Issue

Vol. 11 No. 3: (July 2018)

Section

Mathematical Analysis

License

Upon acceptance of an article by the European Journal of Pure and Applied Mathematics, the author(s) retain the copyright to the article. However, by submitting your work, you agree that the article will be published under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0). This license allows others to copy, distribute, and adapt your work, provided proper attribution is given to the original author(s) and source. However, the work cannot be used for commercial purposes.

By agreeing to this statement, you acknowledge that:

  • You retain full copyright over your work.
  • The European Journal of Pure and Applied Mathematics will publish your work under the Creative Commons Attribution-NonCommercial 4.0 International License (CC BY-NC 4.0).
  • This license allows others to use and share your work for non-commercial purposes, provided they give appropriate credit to the original author(s) and source.

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