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

Antoni Ferragut; Claudia Valls; Carsten Wiuf

doi:10.1016/j.chaos.2018.01.029

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

Antoni Ferragut, Claudia Valls, Carsten Wiuf^*

^*Corresponding author for this work

Department of Mathematical Sciences

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.

Original language	English
Journal	Chaos, Solitons and Fractals
Volume	108
Pages (from-to)	129-135
Number of pages	7
ISSN	0960-0779
DOIs	https://doi.org/10.1016/j.chaos.2018.01.029
Publication status	Published - 1 Mar 2018

Keywords

Deficiency theorem
Exponential factor
First integral
Polynomial system
Reaction network

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10.1016/j.chaos.2018.01.029

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title = "On the Liouville integrability of Edelstein's reaction system in R3",

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 = "Deficiency theorem, Exponential factor, First integral, Polynomial system, Reaction network",

author = "Antoni Ferragut and Claudia Valls and Carsten Wiuf",

year = "2018",

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doi = "10.1016/j.chaos.2018.01.029",

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T1 - On the Liouville integrability of Edelstein's reaction system in R3

AU - Ferragut, Antoni

AU - Valls, Claudia

AU - Wiuf, Carsten

PY - 2018/3/1

Y1 - 2018/3/1

N2 - 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.

AB - 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.

KW - Deficiency theorem

KW - Exponential factor

KW - First integral

KW - Polynomial system

KW - Reaction network

UR - http://www.scopus.com/inward/record.url?scp=85041478737&partnerID=8YFLogxK

U2 - 10.1016/j.chaos.2018.01.029

DO - 10.1016/j.chaos.2018.01.029

M3 - Journal article

AN - SCOPUS:85041478737

SN - 0960-0779

VL - 108

SP - 129

EP - 135

JO - Chaos, Solitons and Fractals

JF - Chaos, Solitons and Fractals

ER -

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

Abstract

Keywords

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