On Darboux integrability of Edelstein's reaction system in R³
Ferragut Amengual, Antoni Manel (Universitat Jaume I. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matemàtica)
Wiuf, Carsten (Københavns Universitet. Department of Mathematical Sciences)

Date:	2018
Abstract:	We consider Edelstein's dynamical system of three reversible reactions in R³ and show that it is not Darboux integrable. To do so we characterize its polynomial first integrals, Darboux polynomials and exponential factors.
Grants:	Ministerio de Economía y Competitividad MTM2013-40998-P
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Deficiency theorem ; Exponential factor ; First integral ; Multi-stationarity ; Polynomial system ; Reaction network
Published in:	Chaos, solitons and fractals, Vol. 108 (March 2018) , p. 129-135, ISSN 0960-0779

DOI: 10.1016/j.chaos.2018.01.029

Postprint 12 p, 275.2 KB

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