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.

Bibliographic Details
Authors: Llibre, Jaume|||0000-0002-9511-5999; Valls, Clàudia|||0000-0001-8279-1229
Format: Article
Publication date:2012
Country:España
Institution:Universitat Autònoma de Barcelona
Repository:Dipòsit Digital de Documents de la UAB
Language:English
OAI Identifier:oai:ddd.uab.cat:150513
Online Access:https://ddd.uab.cat/record/150513
https://dx.doi.org/urn:doi:10.1142/S1402925112500167
Access Level:Open access
Keyword:Darboux polynomial
Exponential factor
Liouvillian first integral
Analytic first integral
Brusselator differential systems
Description
Summary: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.