Complex-anisotropy-induced pattern formation in bistable media

被引:2
|
作者
He, Zhi Zhu [1 ]
Liu, Jing [1 ,2 ]
机构
[1] Chinese Acad Sci, Tech Inst Phys & Chem, Key Lab Cryogen, Beijing 100190, Peoples R China
[2] Tsinghua Univ, Dept Biomed Engn, Sch Med, Beijing 100084, Peoples R China
来源
PHYSICAL REVIEW E | 2009年 / 79卷 / 02期
基金
中国国家自然科学基金;
关键词
anisotropic media; bifurcation; numerical analysis; reaction-diffusion systems; spatiotemporal phenomena; wave propagation; WAVE PATTERNS; DYNAMICS; BREAKUP; MODEL;
D O I
10.1103/PhysRevE.79.026105
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
A construct of anisotropy in bistable media is adopted to characterize the effects of anisotropy on pattern formation by means of anisotropic line tension. A velocity curvature relation is further derived to account for the anisotropic wave propagations. Stability analysis of transverse perturbations indicates that a sufficiently strong complex anisotropy can induce dynamical instabilities and even lead to a breakup of the wave patterns. Numerical simulations show that complex anisotropy can induce rich spatiotemporal behaviors in bistable media. The results of analysis and simulations demonstrate that this method successfully incorporates complex anisotropy into the reaction diffusion model and has general significance.
引用
收藏
页数:7
相关论文
共 50 条
  • [1] Front propagation and pattern formation in anisotropic bistable media
    Bär, M
    Hagberg, A
    Meron, E
    Thiele, U
    [J]. PHYSICAL REVIEW E, 2000, 62 (01): : 366 - 374
  • [2] Pattern formation controlled by time-delayed feedback in bistable media
    He, Ya-Feng
    Ai, Bao-Quan
    Hu, Bambi
    [J]. JOURNAL OF CHEMICAL PHYSICS, 2010, 133 (11):
  • [3] PATTERN EVOLUTION IN THERMALLY BISTABLE MEDIA
    AHARONSON, V
    REGEV, O
    SHAVIV, N
    [J]. ASTROPHYSICAL JOURNAL, 1994, 426 (02): : 621 - 628
  • [4] Pattern formation in inhomogeneous active media: A localized bistable domain immersed in an oscillatory medium
    Bouzat, S
    Wio, HS
    [J]. PHYSICS LETTERS A, 2000, 268 (4-6) : 323 - 329
  • [5] Pattern dynamics in bidimensional oscillatory media with bistable inhomogeneities
    Bouzat, S
    Wio, HS
    [J]. PHYSICAL REVIEW E, 2001, 63 (05): : 562131 - 5621310
  • [6] Analysis of pattern formation in chain of coupled bistable elements
    Kuznetsov, AS
    Forti, GL
    Shalfeev, VD
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2006, 16 (03): : 741 - 747
  • [7] Pattern formation in the bistable Gray-Scott model
    Mazin, W
    Rasmussen, KE
    Mosekilde, E
    Borckmans, P
    Dewel, G
    [J]. MATHEMATICS AND COMPUTERS IN SIMULATION, 1996, 40 (3-4) : 371 - 396
  • [8] Scanning anisotropy parameters in complex media
    Alkhalifah, Tariq
    [J]. GEOPHYSICS, 2011, 76 (02) : U13 - U22
  • [9] DYNAMICS OF THE FORMATION OF SWITCHING WAVES IN DISSIPATIVE BISTABLE MEDIA
    OGNEV, MV
    PETROVSKII, SV
    PROSTOKISHIN, VM
    [J]. ZHURNAL TEKHNICHESKOI FIZIKI, 1995, 65 (06): : 1 - 8
  • [10] Magnetization processes in bistable amorphous ribbons with induced helical anisotropy
    García, A
    Morón, C
    Maganto, F
    [J]. JOURNAL OF MAGNETISM AND MAGNETIC MATERIALS, 2003, 254 : 161 - 163