Work

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

Year: 2025

Type: article

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?

Source: Extracta Mathematicae

DOI: 10.17398/2605-5686.40.1.121

Authors: J. Llibre, L.P. Serantola

Institutions: Universitat Autònoma de Barcelona, Instituto de Biociências, Letras e Ciências Exatas, câmpus de São José do Rio Preto, Universidade Estadual Paulista (Unesp)

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond