Infinitely Remote Singularities of Special Differential Dynamic Systems

İrina ANDREEVA

Article Details

Infinitely Remote Singularities of Special Differential Dynamic Systems

Authors:

İrina ANDREEVA

Main Topics:

Applied physics

Journal:

The Eurasia Proceedings of Science Technology Engineering and Mathematics 2018 Issue 4, pp.1-7

Document Type:

Article

Publication Date:

12/2018

Document Language:

English

Document ID (Org No.):

2000660826

Abstract:

 


The work is devoted to the results of a fundamental study on the
arithmetical plane of a broad special family of differential dynamic systems
having polynomial right parts. Let those polynomials be a cubic and a square
reciprocal forms. A task of a whole investigation was to find out all
topologically different phase portraits in a Poincare circle and indicate close
to coefficient criteria of them. To achieve this goal a Poincare method of the
central and the orthogonal consecutive displays (or mappings) has been used. As
a rezult more than 250 topologically different phase portraits
in a total have been constructed. Every portrait we depict with a special table
called a descriptive phase portrait. Each line of such a special table
corresponds to one invariant cell of the phase portrait and describes its
boundary, a source of its phase flow and a sink of it. All finite and
infinitely remote singularities of dynamic systems under consideration were
fully investigated. Namely infinitely remote singularities are discussed in the
present article.

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Article Details

Infinitely Remote Singularities of Special Differential Dynamic Systems

Authors: İrina ANDREEVA

Main Topics: Applied physics

Journal: The Eurasia Proceedings of Science Technology Engineering and Mathematics 2018 Issue 4, pp.1-7

Document Type: Article

Publication Date: 12/2018

Document Language: English

Document ID (Org No.): 2000660826

Issues

Authors:

İrina ANDREEVA

Main Topics:

Applied physics

Journal:

The Eurasia Proceedings of Science Technology Engineering and Mathematics 2018 Issue 4, pp.1-7

Document Type:

Article

Publication Date:

12/2018

Document Language:

English

Document ID (Org No.):

2000660826