Liouvillian and analytic first integrals for the brusselator system

Jaume Llibre; Clàudia Valls

doi:https://doi.org/10.1142/S1402925112500167

Liouvillian and analytic first integrals for the brusselator system

Jaume Llibre, Clàudia Valls

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-review

6 Citations (Scopus)

Abstract

We characterize the Liouvillian and analytic first integrals for the polynomial differential systems of the form x′ = a -(b + 1)x + x 2y, y′ = bx -x 2y, with a, b ∈ , called the Brusselator differential systems. © J. Llibre and C. Valls.

Original language	English
Article number	1250016
Journal	Journal of Nonlinear Mathematical Physics
Volume	19
Issue number	2
DOIs	https://doi.org/10.1142/S1402925112500167
Publication status	Published - 1 Jun 2012

Keywords

Brusselator differential systems
Darboux polynomial
Liouvillian first integral
analytic first integral
exponential factor

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KW - Darboux polynomial

KW - Liouvillian first integral

KW - analytic first integral

KW - exponential factor

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Liouvillian and analytic first integrals for the brusselator system

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Keywords

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