Effect of noise and structural inhomogeneities in reaction-diffusion media

被引:0
|
作者
Morfu, S. [1 ]
Marquie, P. [1 ]
机构
[1] Aile Sci Ingn, CNRS 5158, Lab Electron Informat Image, UMR, F-21078 Dijon, France
来源
关键词
reaction-diffusion media; inhomogeneous medium; propagation failure;
D O I
10.1142/S0218127407019639
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We investigate the pinning and depinning condition of a kink in both homogeneous and inhomogeneous reaction-diffusion media. We show that structural inhomogeneities hinder information propagation whereas noise enhances propagation.
引用
收藏
页码:3721 / 3724
页数:4
相关论文
共 50 条
  • [1] ON THE INFLUENCE OF INHOMOGENEITIES IN A REACTION-DIFFUSION SYSTEM
    KULKA, A
    BODE, M
    PURWINS, HG
    [J]. PHYSICS LETTERS A, 1995, 203 (01) : 33 - 39
  • [2] Effect of noise on defect chaos in a reaction-diffusion model
    Wang, HL
    Qi, OY
    [J]. CHAOS, 2005, 15 (02)
  • [3] NOISE AND STABILITY IN REACTION-DIFFUSION EQUATIONS
    Lv, Guangying
    Wei, Jinlong
    Zou, Guang-an
    [J]. MATHEMATICAL CONTROL AND RELATED FIELDS, 2022, 12 (01) : 147 - 168
  • [4] The effect of exclusion on nonlinear reaction-diffusion system in inhomogeneous media
    Bagarti, Trilochan
    Roy, Anupam
    Kundu, K.
    Dev, B. N.
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2014, 405 : 52 - 62
  • [5] Reaction-diffusion equations in perforated media
    Dunyak, JP
    [J]. NONLINEARITY, 1997, 10 (02) : 377 - 388
  • [6] BIFURCATIONS OF FRONT DYNAMICS IN A REACTION-DIFFUSION SYSTEM WITH SPATIAL INHOMOGENEITIES
    SCHUTZ, P
    BODE, M
    PURWINS, HG
    [J]. PHYSICA D, 1995, 82 (04): : 382 - 397
  • [7] Structural control of reaction-diffusion networks
    Xuan, Qi
    Du, Fang
    Dong, Hui
    Yu, Li
    Chen, Guanrong
    [J]. PHYSICAL REVIEW E, 2011, 84 (03):
  • [8] Noise effect on a spatial reaction-diffusion model with constant harvest rate
    Rao, Feng
    Wang, Weiming
    [J]. 2009 IEEE INTERNATIONAL CONFERENCE ON INTELLIGENT COMPUTING AND INTELLIGENT SYSTEMS, PROCEEDINGS, VOL 2, 2009, : 55 - 59
  • [9] Effect of noise on front propagation in reaction-diffusion equations of KPP type
    Carl Mueller
    Leonid Mytnik
    Jeremy Quastel
    [J]. Inventiones mathematicae, 2011, 184 : 405 - 453
  • [10] Effect of noise on front propagation in reaction-diffusion equations of KPP type
    Mueller, Carl
    Mytnik, Leonid
    Quastel, Jeremy
    [J]. INVENTIONES MATHEMATICAE, 2011, 184 (02) : 405 - 453