On the Darboux Integrability of Polynomial Differential Systems

Jaume Llibre; Xiang Zhang

doi:https://doi.org/10.1007/s12346-011-0053-x

On the Darboux Integrability of Polynomial Differential Systems

Jaume Llibre, Xiang Zhang

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

33 Citations (Scopus)

Abstract

This is a survey on recent results on the Darboux integrability of polynomial vector fields in ℝn or ℂn with n ≥ 2. We also provide an open question and some applications based on the existence of such first integrals. © 2011 Springer Basel AG.

Original language	English
Pages (from-to)	129-144
Journal	Qualitative Theory of Dynamical Systems
Volume	11
Issue number	1
DOIs	https://doi.org/10.1007/s12346-011-0053-x
Publication status	Published - 1 Dec 2012

Keywords

Darboux integrability
Polynomial differential systems
Polynomial vector fields

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