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

نویسندگان

چکیده

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

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ژورنال

عنوان ژورنال: Discrete and Continuous Dynamical Systems-series B

سال: 2021

ISSN: ['1531-3492', '1553-524X']

DOI: https://doi.org/10.3934/dcdsb.2020344