Global Phase Portraits of Quadratic Polynomial Differential Systems Having as Solution Some Classical Planar Algebraic Curves of Degree 6-Reference-Cited by-同舟云学术

Global Phase Portraits of Quadratic Polynomial Differential Systems Having as Solution Some Classical Planar Algebraic Curves of Degree 6

Published:2022-11-01 Issue:1 Volume:81 Page:129-144
ISSN:1338-9750
Container-title:Tatra Mountains Mathematical Publications
language:en
Short-container-title:

Author:

Benterki Rebiha¹,Belfar Ahlam¹

Affiliation:

1. Department of Mathematics , University Mohamed El Bachir El Ibrahimi , Bordj Bou Arréridj, El Anasser , Algeria

Abstract

Abstract The main goal of this paper is to classify the global phase portraits of seven quadratic polynomial differential systems, exhibiting as invariant algebraic curves seven well-known algebraic curves of degree six. We prove that these systems have five topologically different phase portraits in the Poincarédisc.

Publisher

Walter de Gruyter GmbH

Link

https://www.sciendo.com/pdf/10.2478/tmmp-2022-0010

Reference16 articles.

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1. Global Phase Portraits of Quadratic Polynomial Differential Systems Having as Solution Some Classical Planar Algebraic Curves of Degree 6;Tatra Mountains Mathematical Publications;2022-11-01