Galerkin model for Turing patterns on a sphere

被引:3
作者
Bhattacharya, S [1 ]
机构
[1] SN Bose Natl Ctr Basic Sci, Kolkata, India
关键词
D O I
10.1103/PhysRevE.72.036208
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
We carry out a Lorenz-like truncation of reaction diffusion systems to investigate pattern formation on a spherical surface. Stability analysis suggests spots to be favored more than stripes in general. Numerical calculations on the truncated model are in agreement with the theoretical predictions.
引用
收藏
页数:6
相关论文
共 10 条
  • [1] A two-dimensional numerical study of spatial pattern formation in interacting Turing systems
    Barrio, RA
    Varea, C
    Aragón, JL
    Maini, PK
    [J]. BULLETIN OF MATHEMATICAL BIOLOGY, 1999, 61 (03) : 483 - 505
  • [2] Pattern formation in reaction diffusion systems: a Galerkin model
    Bhattacharyay, A
    Bhattacharjee, JK
    [J]. EUROPEAN PHYSICAL JOURNAL B, 2001, 21 (04) : 561 - 566
  • [3] Spatio-temporal pattern formation on spherical surfaces: numerical simulation and application to solid tumour growth
    Chaplain, MAJ
    Ganesh, M
    Graham, IG
    [J]. JOURNAL OF MATHEMATICAL BIOLOGY, 2001, 42 (05) : 387 - 423
  • [4] THEORY OF BIOLOGICAL PATTERN FORMATION
    GIERER, A
    MEINHARDT, H
    [J]. KYBERNETIK, 1972, 12 (01): : 30 - 39
  • [5] BIOLOGICAL PATTERN-FORMATION - FROM BASIC MECHANISMS TO COMPLEX STRUCTURES
    KOCH, AJ
    MEINHARDT, H
    [J]. REVIEWS OF MODERN PHYSICS, 1994, 66 (04) : 1481 - 1507
  • [6] Lorenz E, 1963, J ATOMS SOC, V20, P2
  • [7] Spatial pattern formation in chemical and biological systems
    Maini, PK
    Painter, KJ
    Chau, HNP
    [J]. JOURNAL OF THE CHEMICAL SOCIETY-FARADAY TRANSACTIONS, 1997, 93 (20): : 3601 - 3610
  • [8] Pattern formation on a sphere
    Matthews, PC
    [J]. PHYSICAL REVIEW E, 2003, 67 (03): : 6
  • [10] Turing patterns on a sphere
    Varea, C
    Aragón, JL
    Barrio, RA
    [J]. PHYSICAL REVIEW E, 1999, 60 (04): : 4588 - 4592