Turing Instability in Reaction-Diffusion Systems with Nonlinear Diffusion

被引：3

作者：

Zemskov, E. P. ^{[1
]}

机构：

[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119333, Russia

来源：

JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS | 2013年 / 117卷 / 04期

关键词：

CROSS-DIFFUSION; CONVECTION; WAVES;

D O I：

10.1134/S1063776113120194

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The Turing instability is studied in two-component reaction-diffusion systems with nonlinear diffusion terms, and the regions in parametric space where Turing patterns can form are determined. The boundaries between super- and subcritical bifurcations are found. Calculations are performed for one-dimensional brusselator and oregonator models.

引用

页码：764 / 769

页数：6

共 25 条

[1] [Anonymous], 2007, STRUCTURES CHAOS NON
[2] [Борина Мария Юрьевна Borina M.U.], 2011, [Компьютерные исследования и моделирование, Computer Research and Modeling, Komp'yuternye issledovaniya i modelirovanie], V3, P135
[3] Cross M., 2009, Pattern Formation and Dynamics in Nonequilibrium Systems
[4] De Wit A, 1993, THESIS U LIBRE BRUXE
[5] Grekhova MT, 1981, AUTOWAVE PROCESSES S
[6] IVANITSKY GR, 1987, BIOFIZIKA+, V32, P354
[7] Effects of cross diffusion on Turing bifurcations in two-species reaction-transport systems
Kumar, Niraj
Horsthemke, Werner
[J]. PHYSICAL REVIEW E, 2011, 83 (03):
[8] Turing bifurcation in a reaction-diffusion system with density-dependent dispersal
Kumar, Niraj
Horsthemke, Werner
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2010, 389 (09) : 1812 - 1818
[9] MODELING OF TURING STRUCTURES IN THE CHLORITE IODIDE MALONIC-ACID STARCH REACTION SYSTEM
LENGYEL, I
EPSTEIN, IR
[J]. SCIENCE, 1991, 251 (4994) : 650 - 652
[10] Mendez V, 2010, SPRINGER SER SYNERG, P1, DOI 10.1007/978-3-642-11443-4

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