The The easiest polynomial differential systems in R^3 having an invariant cylinder

This paper answers the following two questions: What are the easiest polynomial differential systems in R3 having an invariant hyperbolic, parabolic or elliptic cylinder?, and for such polynomial differential systems what are their phase portraits on such invariant cylinders?

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Publication Details

Journal
Extracta Mathematicae
Published
2025-06-06
DOI
https://doi.org/10.17398/2605-5686.40.1.121
Primary Topic
Advanced Differential Equations and Dynamical Systems
Type
article
Field-Weighted Citation Impact
0.00

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article

The The easiest polynomial differential systems in R^3 having an invariant cylinder

J. Llibre, Leonardo P. Serantola
Extracta Mathematicae
Advanced Differential Equations and Dynamical Systems
article

The The easiest polynomial differential systems in R^3 having an invariant cylinder

J. Llibre, Leonardo P. Serantola
article en

Abstract

This paper answers the following two questions: What are the easiest polynomial differential systems in R3 having an invariant hyperbolic, parabolic or elliptic cylinder?, and for such polynomial differential systems what are their phase portraits on such invariant cylinders?

Extracta MathematicaeVol. 40(1)
Universitat Autònoma de Barcelona (ES), Centro Universitário de Rio Preto (BR)
Coordenação de Aperfeiçoamento de Pessoal de Nível Superior, Generalitat de Catalunya, Agència de Gestió d'Ajuts Universitaris i de Recerca, Agencia Estatal de Investigación, Division of Graduate Education
Openalex Percentile: Top 82%
Advanced Differential Equations and Dynamical Systems
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