On the Liouville integrability of Edelstein's reaction system in R3. (March 2018)

• Record Type: Journal Article
• Authors: Ferragut, Antoni; Valls, Claudia; Wiuf, Carsten
• Is Part Of: Chaos, solitons and fractals. Volume 108(2018)
• Page Start: 129
• Page End: 135
• Publication Date: 2018-03
• Subjects: Reaction network -- Polynomial system -- Exponential factor -- First integral -- Deficiency theorem; Chaotic behavior in systems -- Periodicals; Solitons -- Periodicals; Fractals -- Periodicals; Chaotic behavior in systems; Fractals; Solitons; Periodicals; 003.7
• DOI: 10.1016/j.chaos.2018.01.029
• Languages: English
• ISSNs: 0960-0779

Abstract

Highlights: We consider Edelstein's dynamical system of three reversible reactions in R 3 and show that it is not Darboux nor Liouville integrable. To do so we characterize its polynomial first integrals, Darboux polynomials and exponential factors. Abstract: We consider Edelstein's dynamical system of three reversible reactions in R 3 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.