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.

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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
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description 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.
doi_str_mv 10.1007/s12215-021-00675-x
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1973-4409
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subjects Algebra
Analysis
Applications of Mathematics
Geometry
Mathematics
Mathematics and Statistics
Polynomials
title Qualitative dynamics of five quadratic polynomial differential systems exhibiting five classical cubic algebraic curves
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