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

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On the Liouville integrability of Edelstein's reaction system in R3. / Ferragut, Antoni; Valls, Claudia; Wiuf, Carsten.

In: Chaos, Solitons and Fractals, Vol. 108, 01.03.2018, p. 129-135.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Ferragut, A, Valls, C & Wiuf, C 2018, 'On the Liouville integrability of Edelstein's reaction system in R3', Chaos, Solitons and Fractals, vol. 108, pp. 129-135. https://doi.org/10.1016/j.chaos.2018.01.029

APA

Ferragut, A., Valls, C., & Wiuf, C. (2018). On the Liouville integrability of Edelstein's reaction system in R3. Chaos, Solitons and Fractals, 108, 129-135. https://doi.org/10.1016/j.chaos.2018.01.029

Vancouver

Ferragut A, Valls C, Wiuf C. On the Liouville integrability of Edelstein's reaction system in R3. Chaos, Solitons and Fractals. 2018 Mar 1;108:129-135. https://doi.org/10.1016/j.chaos.2018.01.029

Author

Ferragut, Antoni ; Valls, Claudia ; Wiuf, Carsten. / On the Liouville integrability of Edelstein's reaction system in R3. In: Chaos, Solitons and Fractals. 2018 ; Vol. 108. pp. 129-135.

Bibtex

@article{50b994fa94c04a598c23e71ca659d85b,
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",
month = mar,
day = "1",
doi = "10.1016/j.chaos.2018.01.029",
language = "English",
volume = "108",
pages = "129--135",
journal = "Chaos, Solitons & Fractals",
issn = "0960-0779",
publisher = "Pergamon Press",

}

RIS

TY - JOUR

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

VL - 108

SP - 129

EP - 135

JO - Chaos, Solitons & Fractals

JF - Chaos, Solitons & Fractals

SN - 0960-0779

ER -

ID: 200690553