Codimension one and two bifurcations in Cattaneo-Christov heat flux model

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Codimension one and two bifurcations in Cattaneo-Christov heat flux model. / Wei, Zhouchao; Zhang, Wei; Moroz, Irene; Kuznetsov, Nikolay V.

In: Discrete and Continuous Dynamical Systems - Series B, Vol. 26, No. 10, 10.2021, p. 5305-5319.

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

Author

Wei, Zhouchao ; Zhang, Wei ; Moroz, Irene ; Kuznetsov, Nikolay V. / Codimension one and two bifurcations in Cattaneo-Christov heat flux model. In: Discrete and Continuous Dynamical Systems - Series B. 2021 ; Vol. 26, No. 10. pp. 5305-5319.

BibTeX

@article{7f251cada5704b648ceb7ebada44a96d,

title = "Codimension one and two bifurcations in Cattaneo-Christov heat flux model",

abstract = "Layek and Pati (Phys. Lett. A, 2017) studied a nonlinear system of five coupled equations, which describe thermal relaxation in Rayleigh-Benard convection of a Boussinesq fluid layer, heated from below. Here we return to that paper and use techniques from dynamical systems theory to analyse the codimension-one Hopf bifurcation and codimension-two double-zero BogdanovTakens bifurcation. We determine the stability of the bifurcating limit cycle, and produce an unfolding of the normal form for codimension-two bifurcation for the Layek and Pati's model.",

keywords = "Bogdanov-Takens bifurcation, Cattaneo-christov heat-flux model, Homoclinic bifurcation, Hopf bifurcation, Limit cycle",

author = "Zhouchao Wei and Wei Zhang and Irene Moroz and Kuznetsov, {Nikolay V.}",

year = "2021",

month = oct,

doi = "10.3934/dcdsb.2020344",

language = "English",

volume = "26",

pages = "5305--5319",

journal = "Discrete and Continuous Dynamical Systems - Series B",

issn = "1531-3492",

publisher = "Southwest Missouri State University",

number = "10",

}

RIS

TY - JOUR

T1 - Codimension one and two bifurcations in Cattaneo-Christov heat flux model

AU - Wei, Zhouchao

AU - Zhang, Wei

AU - Moroz, Irene

AU - Kuznetsov, Nikolay V.

PY - 2021/10

Y1 - 2021/10

N2 - Layek and Pati (Phys. Lett. A, 2017) studied a nonlinear system of five coupled equations, which describe thermal relaxation in Rayleigh-Benard convection of a Boussinesq fluid layer, heated from below. Here we return to that paper and use techniques from dynamical systems theory to analyse the codimension-one Hopf bifurcation and codimension-two double-zero BogdanovTakens bifurcation. We determine the stability of the bifurcating limit cycle, and produce an unfolding of the normal form for codimension-two bifurcation for the Layek and Pati's model.

AB - Layek and Pati (Phys. Lett. A, 2017) studied a nonlinear system of five coupled equations, which describe thermal relaxation in Rayleigh-Benard convection of a Boussinesq fluid layer, heated from below. Here we return to that paper and use techniques from dynamical systems theory to analyse the codimension-one Hopf bifurcation and codimension-two double-zero BogdanovTakens bifurcation. We determine the stability of the bifurcating limit cycle, and produce an unfolding of the normal form for codimension-two bifurcation for the Layek and Pati's model.

KW - Bogdanov-Takens bifurcation

KW - Cattaneo-christov heat-flux model

KW - Homoclinic bifurcation

KW - Hopf bifurcation

KW - Limit cycle

UR - http://www.scopus.com/inward/record.url?scp=85100456315&partnerID=8YFLogxK

UR - https://www.mendeley.com/catalogue/ddd00a60-7f35-34e7-945d-e0cd80de6534/

U2 - 10.3934/dcdsb.2020344

DO - 10.3934/dcdsb.2020344

M3 - Article

AN - SCOPUS:85100456315

VL - 26

SP - 5305

EP - 5319

JO - Discrete and Continuous Dynamical Systems - Series B

JF - Discrete and Continuous Dynamical Systems - Series B

SN - 1531-3492

IS - 10

ER -

ID: 78768596