Turing-Hopf instabilities through a combination of diffusion, advection, and finite size effects

被引：2
|
作者：
Galhotra, Sainyam [1 ]
Bhattacharjee, J. K. [2 ]
Agarwalla, Bijay Kumar [3 ,4 ]
机构：
[1] IIT Delhi, Dept Comp Sci & Engn, New Delhi 110016, India
[2] Harish Chandra Res Inst, Allahabad 211019, Uttar Pradesh, India
[3] Natl Univ Singapore, Dept Phys, Singapore 117542, Singapore
[4] Natl Univ Singapore, Ctr Computat Sci & Engn, Singapore 117542, Singapore
来源：
JOURNAL OF CHEMICAL PHYSICS | 2014年 / 140卷 / 02期
关键词：
BIOLOGICAL PATTERN-FORMATION; DIFFERENTIAL FLOW; PARAMETER SPACE; SYSTEM; BIFURCATION; MODEL;
D O I：
10.1063/1.4859259
中图分类号：
O64 [物理化学（理论化学）、化学物理学];
学科分类号：
070304 ; 081704 ;
摘要：
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. (C) 2014 AIP Publishing LLC.
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页数：6
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