Journal title
Discrete and Continuous Dynamical Systems - Series B
DOI
10.3934/dcdsb.2020344
Issue
10
Volume
26
Last updated
2024-03-25T14:36:59.2+00:00
Page
5305-5319
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 bifurcation for the Layek and Pati's model.
Symplectic ID
1136293
Submitted to ORA
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Publication type
Journal Article
Publication date
20 Nov 2020