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.

引用

页数：6

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