Hopf bifurcation and periodic solutions in a coupled Brusselator model of chemical reactions

Yihuan Sun; Shanshan Chen

doi:10.1007/s10910-023-01528-x

Hopf bifurcation and periodic solutions in a coupled Brusselator model of chemical reactions

Yihuan Sun
, Shanshan Chen^*

^*Corresponding author for this work

School of Mathematics, Harbin Institute of Technology
Harbin Institute of Technology Weihai

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

In this paper, we consider a coupled Brusselator model of chemical reactions, for which no symmetry for the coupling matrices is assumed. We show that the model can undergo a Hopf bifurcation, and consequently periodic solutions can arise when the dispersal rates are large. Moreover, the effect of the coupling matrices on the Hopf bifurcation value is considered for a special case.

Original language	English
Pages (from-to)	169-197
Number of pages	29
Journal	Journal of Mathematical Chemistry
Volume	62
Issue number	1
DOIs	https://doi.org/10.1007/s10910-023-01528-x
State	Published - Jan 2024
Externally published	Yes

Keywords

Coupling matrix
Hopf bifurcation
Line-sum symmetric matrix
Periodic solutions

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10.1007/s10910-023-01528-x

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title = "Hopf bifurcation and periodic solutions in a coupled Brusselator model of chemical reactions",

abstract = "In this paper, we consider a coupled Brusselator model of chemical reactions, for which no symmetry for the coupling matrices is assumed. We show that the model can undergo a Hopf bifurcation, and consequently periodic solutions can arise when the dispersal rates are large. Moreover, the effect of the coupling matrices on the Hopf bifurcation value is considered for a special case.",

keywords = "Coupling matrix, Hopf bifurcation, Line-sum symmetric matrix, Periodic solutions",

author = "Yihuan Sun and Shanshan Chen",

note = "Publisher Copyright: {\textcopyright} 2023, The Author(s), under exclusive licence to Springer Nature Switzerland AG.",

year = "2024",

month = jan,

doi = "10.1007/s10910-023-01528-x",

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T1 - Hopf bifurcation and periodic solutions in a coupled Brusselator model of chemical reactions

AU - Sun, Yihuan

AU - Chen, Shanshan

PY - 2024/1

Y1 - 2024/1

N2 - In this paper, we consider a coupled Brusselator model of chemical reactions, for which no symmetry for the coupling matrices is assumed. We show that the model can undergo a Hopf bifurcation, and consequently periodic solutions can arise when the dispersal rates are large. Moreover, the effect of the coupling matrices on the Hopf bifurcation value is considered for a special case.

AB - In this paper, we consider a coupled Brusselator model of chemical reactions, for which no symmetry for the coupling matrices is assumed. We show that the model can undergo a Hopf bifurcation, and consequently periodic solutions can arise when the dispersal rates are large. Moreover, the effect of the coupling matrices on the Hopf bifurcation value is considered for a special case.

KW - Coupling matrix

KW - Hopf bifurcation

KW - Line-sum symmetric matrix

KW - Periodic solutions

UR - https://www.scopus.com/pages/publications/85174033426

U2 - 10.1007/s10910-023-01528-x

DO - 10.1007/s10910-023-01528-x

M3 - 文章

AN - SCOPUS:85174033426

SN - 0259-9791

VL - 62

SP - 169

EP - 197

JO - Journal of Mathematical Chemistry

JF - Journal of Mathematical Chemistry

IS - 1

ER -

Hopf bifurcation and periodic solutions in a coupled Brusselator model of chemical reactions

Abstract

Keywords

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