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

Author: 

Wei, Z
Zhang, W
Moroz, I
Kuznetsov, N

Publication Date: 

20 November 2020

Journal: 

Discrete and Continuous Dynamical Systems - Series B

Last Updated: 

2021-08-23T12:42:21.473+01:00

DOI: 

10.3934/dcdsb.2020344

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: 

Submitted

Publication Type: 

Journal Article