Turing-Hopf instabilities through a combination of diffusion, advection, and finite size effects.
We show that in a reaction diffusion system on a two-dimensional substrate with advection in the confined direction, the drift (advection) induced instability occurs through a Hopf bifurcation, which can become a double Hopf bifurcation. The box size in the direction of the drift is a vital parameter. Our analysis involves reduction to a low dimensional dynamical system and constructing amplitude equations.
Department of Computer Science and Engineering, IIT Delhi, Hauz Khas, New Delhi 110016, India.
Sainyam
S
Galhotra
Harish Chandra Research Institute, Jhunsi, Allahabad 211019, India.
J K
JK
Bhattacharjee
Department of Physics and Centre for Computational Science and Engineering, National University of Singapore, 117542 Republic of Singapore.
Bijay Kumar
BK
Agarwalla