volume 26, issue 10, P5305 2021
DOI: 10.3934/dcdsb.2020344
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Zhouchao Wei, Wei Zhang, Irene Moroz, Nikolay V. Kuznetsov

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 Bogdanov-Takens bifurcation. We determine the stability of the bifurcating limit cycle, and produce an unfolding of the normal form for codimension-two bi…

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