On the Liouville integrability of Edelstein’s reaction system in R3

Antoni Ferragut, Claudia Valls and Carsten Wiuf

Chaos, Solitons & Fractals, 2018, vol. 108, issue C, 129-135

Abstract: We consider Edelstein’s dynamical system of three reversible reactions in R3 and show that it is not Liouville (hence also not Darboux) integrable. To do so, we characterize its polynomial first integrals, Darboux polynomials and exponential factors.

Keywords: Reaction network; Polynomial system; Exponential factor; First integral; Deficiency theorem (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:108:y:2018:i:c:p:129-135

DOI: 10.1016/j.chaos.2018.01.029

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