On the Darboux integrability of the polynomial differential systems

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.

Detalles Bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Zhang, Xiang
Tipo de recurso: artículo
Fecha de publicación:2012
País:España
Institución:Universitat Autònoma de Barcelona
Repositorio:Dipòsit Digital de Documents de la UAB
Idioma:inglés
OAI Identifier:oai:ddd.uab.cat:150526
Acceso en línea:https://ddd.uab.cat/record/150526
https://dx.doi.org/urn:doi:10.1007/s12346-011-0053-x
Access Level:acceso abierto
Palabra clave:Polynomial differential systems
Polynomial vector fields
Darboux integrability
Descripción
Sumario: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.