Qualitative dynamics of five quadratic polynomial differential systems exhibiting five classical cubic algebraic curves

This article is devoted to classify the dynamics of five quadratic differential systems exhibiting five known different cubic invariant algebraic curves, by analysing their phase portraits in the Poincaré disc. We realize that these systems produce 29 topologically different phase portraits.

Saved in:
Bibliographic Details
Published in:Rendiconti del Circolo matematico di Palermo 2023-02, Vol.72 (1), p.393-420
Main Authors: Belfar, Ahlam, Benterki, Rebiha
Format: Article
Language:English
Subjects:
Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Polynomials
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:This article is devoted to classify the dynamics of five quadratic differential systems exhibiting five known different cubic invariant algebraic curves, by analysing their phase portraits in the Poincaré disc. We realize that these systems produce 29 topologically different phase portraits.
ISSN:0009-725X
1973-4409
DOI:10.1007/s12215-021-00675-x