Liouvillian and analytic first integrals for the Brusselator system

We characterize the Liouvillian and analytic first integrals for the polynomial differential systems of the form x' = a - (b + 1)x + x2y, y' = bx - x2y, with a, b ∈ R, called the Brusselator differential systems.

Detalhes bibliográficos
Autores: Llibre, Jaume|||0000-0002-9511-5999, Valls, Clàudia|||0000-0001-8279-1229
Tipo de documento: artigo
Data de publicação:2012
País:España
Recursos:Universitat Autònoma de Barcelona
Repositório:Dipòsit Digital de Documents de la UAB
Idioma:inglês
OAI Identifier:oai:ddd.uab.cat:150513
Acesso em linha:https://ddd.uab.cat/record/150513
https://dx.doi.org/urn:doi:10.1142/S1402925112500167
Access Level:Acceso aberto
Palavra-chave:Darboux polynomial
Exponential factor
Liouvillian first integral
Analytic first integral
Brusselator differential systems
Descrição
Resumo:We characterize the Liouvillian and analytic first integrals for the polynomial differential systems of the form x' = a - (b + 1)x + x2y, y' = bx - x2y, with a, b ∈ R, called the Brusselator differential systems.