Planar polynomial vector fields having a polynomial first integral can be obtained from linear systems

We consider in this work planar polynomial differential systems having a polynomial first integral. We prove that these systems can be obtained from a linear system through a polynomial transformation of variables.

Saved in:
Bibliographic Details
Published inApplied mathematics letters Vol. 24; no. 7; pp. 1115 - 1119
Main Authors García, Belen, Giacomini, Héctor, Pérez del Río, Jesús S.
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Ltd 01.07.2011
Elsevier
Subjects
Algebra
Algebraic geometry
Dynamical Systems
Exact sciences and technology
Integrals
Linear systems
Linearization
Mathematical analysis
Mathematical models
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical linear algebra
Ordinary differential equations
Polynomial first integral
Polynomial vector field
Sciences and techniques of general use
Transformations
Vectors (mathematics)
Polynomial vector field
Polynomial first integral
Linearization
Polynomial
Linear system
Applied mathematics
Differential system
Vector field
polynomial differential system
first integral
Online AccessGet full text

Cover

More Information
Summary:We consider in this work planar polynomial differential systems having a polynomial first integral. We prove that these systems can be obtained from a linear system through a polynomial transformation of variables.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2011.01.036