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

Access to Document

https://doi.org/10.1142/S1402925112500167

https://ddd.uab.cat/record/150513

Cite this

@article{b088567b0eaa481b970980c8dfdd66d5,

title = "Liouvillian and analytic first integrals for the brusselator system",

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. {\textcopyright} J. Llibre and C. Valls.",

keywords = "Brusselator differential systems, Darboux polynomial, Liouvillian first integral, analytic first integral, exponential factor",

author = "Jaume Llibre and Cl{\`a}udia Valls",

year = "2012",

month = jun,

day = "1",

doi = "https://doi.org/10.1142/S1402925112500167",

language = "English",

volume = "19",

journal = "Journal of Nonlinear Mathematical Physics",

issn = "1402-9251",

publisher = "Taylor and Francis Ltd.",

number = "2",

}

TY - JOUR

T1 - Liouvillian and analytic first integrals for the brusselator system

AU - Llibre, Jaume

AU - Valls, Clàudia

PY - 2012/6/1

Y1 - 2012/6/1

N2 - 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.

AB - 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.

KW - Brusselator differential systems

KW - Darboux polynomial

KW - Liouvillian first integral

KW - analytic first integral

KW - exponential factor

U2 - https://doi.org/10.1142/S1402925112500167

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

M3 - Article

VL - 19

JO - Journal of Nonlinear Mathematical Physics

JF - Journal of Nonlinear Mathematical Physics

SN - 1402-9251

IS - 2

M1 - 1250016

ER -

Liouvillian and analytic first integrals for the brusselator system

Abstract

Keywords

Access to Document

Fingerprint

Cite this