Volume 19, Issue 2, June 2012, Pages 247 - 254
Liouvillian and Analytic First Integrals for the Brusselator System
Authors
Jaume Llibre
Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Barcelona, Catalonia, Spain,jllibre@mat.uab.cat
Clàudia Valls
Departamento de Matemática, Instituto Superior Técnico, Universidade Técnica de Lisboa, Av. Rovisco Pais 1049-001, Lisboa, Portugal,cvalls@math.ist.utl.pt
Received 16 November 2011, Accepted 24 January 2012, Available Online 4 July 2012.
- DOI
- 10.1142/S1402925112500167How to use a DOI?
- Keywords
- Darboux polynomial; exponential factor; Liouvillian first integral; analytic first integral; Brusselator differential systems
- Abstract
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.
- Copyright
- © 2012 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Jaume Llibre AU - Clàudia Valls PY - 2012 DA - 2012/07/04 TI - Liouvillian and Analytic First Integrals for the Brusselator System JO - Journal of Nonlinear Mathematical Physics SP - 247 EP - 254 VL - 19 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925112500167 DO - 10.1142/S1402925112500167 ID - Llibre2012 ER -