On the Darboux Integrability of Polynomial Differential Systems

Xiang Zhang; Jaume Llibre

doi:10.1007/s12346-011-0053-x

On the Darboux Integrability of Polynomial Differential Systems

Xiang Zhang, Jaume Llibre

Departament de Matemàtiques

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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.

Idioma original	Anglès
Pàgines (de-a)	129-144
Revista	Qualitative Theory of Dynamical Systems
Volum	11
Número	1
DOIs	https://doi.org/10.1007/s12346-011-0053-x
Estat de la publicació	Publicada - 1 de des. 2012

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10.1007/s12346-011-0053-x

https://ddd.uab.cat/record/150526

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title = "On the Darboux Integrability of Polynomial Differential Systems",

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. {\textcopyright} 2011 Springer Basel AG.",

keywords = "Polynomial vector fields, Darboux integrability, Polynomial differential systems",

author = "Xiang Zhang and Jaume Llibre",

year = "2012",

month = dec,

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doi = "10.1007/s12346-011-0053-x",

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journal = "Qualitative Theory of Dynamical Systems",

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T1 - On the Darboux Integrability of Polynomial Differential Systems

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AU - Llibre, Jaume

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AB - 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.

KW - Polynomial vector fields

KW - Darboux integrability

KW - Polynomial differential systems

UR - https://dialnet.unirioja.es/servlet/articulo?codigo=6361056

UR - https://www.scopus.com/pages/publications/84872282082

U2 - 10.1007/s12346-011-0053-x

DO - 10.1007/s12346-011-0053-x

M3 - Article

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JO - Qualitative Theory of Dynamical Systems

JF - Qualitative Theory of Dynamical Systems

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On the Darboux Integrability of Polynomial Differential Systems

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