Galhotra, Sainyam ; Bhattacharjee, J. K. ; Agarwalla, Bijay Kumar (2014) Turing-Hopf instabilities through a combination of diffusion, advection, and finite size effects Journal of Chemical Physics, 140 (2). 024501. ISSN 0021-9606
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Official URL: http://doi.org/10.1063/1.4859259
Related URL: http://dx.doi.org/10.1063/1.4859259
Abstract
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.
| Item Type: | Article |
|---|---|
| Source: | Copyright of this article belongs to American Institute of Physics. |
| ID Code: | 133845 |
| Deposited On: | 30 Dec 2022 10:19 |
| Last Modified: | 30 Dec 2022 10:19 |
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