Interaction of multiarmed spirals in bistable media

被引:7
作者
He, Ya-feng [1 ]
Ai, Bao-quan [2 ]
Liu, Fu-cheng [1 ]
机构
[1] Hebei Univ, Coll Phys Sci & Technol, Hebei Key Lab Opt Elect Informat Mat, Baoding 071002, Peoples R China
[2] S China Normal Univ, ICMP & SPTE, Lab Quantum Informat Technol, Guangzhou 510006, Guangdong, Peoples R China
来源
PHYSICAL REVIEW E | 2013年 / 87卷 / 05期
基金
中国国家自然科学基金;
关键词
REACTION-DIFFUSION SYSTEMS; PATTERN-FORMATION; DYNAMICS; TRANSITION; VORTICES; DRIVEN; DRIFT;
D O I
10.1103/PhysRevE.87.052913
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 study the interaction of both dense and sparse multiarmed spirals in bistable media modeled by equations of the FitzHugh-Nagumo type. A dense one-armed spiral is characterized by its fixed tip. For dense multiarmed spirals, when the initial distance between tips is less than a critical value, the arms collide, connect, and disconnect continuously as the spirals rotate. The continuous reconstruction between the front and the back drives the tips to corotate along a rough circle and to meander zigzaggedly. The rotation frequency of tip, the frequency of zigzagged displacement, the frequency of spiral, the oscillation frequency of media, and the number of arms satisfy certain relations as long as the control parameters of the model are fixed. When the initial distance between tips is larger than the critical value, the behaviors of individual arms within either dense or sparse multiarmed spirals are identical to that of corresponding one-armed spirals.
引用
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页数:7
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共 39 条
  • [31] MULTI-ARMED SPIRALS IN A LIGHT-CONTROLLED EXCITABLE REACTION
    Steinbock, O.
    Mueller, S. C.
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1993, 3 (02): : 437 - 443
  • [32] Pattern formation in the ferrocyanide-iodate-sulfite reaction: The control of space scale separation
    Szalai, Istvan
    De Kepper, Patrick
    [J]. CHAOS, 2008, 18 (02)
  • [33] Oscillatory cluster patterns in a homogeneous chemical system with global feedback
    Vanag, VK
    Yang, LF
    Dolnik, M
    Zhabotinsky, AM
    Epstein, IR
    [J]. NATURE, 2000, 406 (6794) : 389 - 391
  • [34] Multiarmed spirals in excitable media
    Vasiev, B
    Siegert, F
    Weijer, C
    [J]. PHYSICAL REVIEW LETTERS, 1997, 78 (12) : 2489 - 2492
  • [35] Inwardly rotating spiral wave breakup in oscillatory reaction-diffusion media
    Xie, Fagen
    Xie, Dongzhu
    Weiss, James N.
    [J]. PHYSICAL REVIEW E, 2006, 74 (02):
  • [36] Stable spiral structures and their interaction in two-dimensional excitable media
    Zaritski, Roman M.
    Pertsov, Arkady M.
    [J]. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2002, 66 (06): : 1 - 066120
  • [37] Asymmetric bound states of spiral pairs in excitable media
    Zemlin, C
    Mukund, K
    Wellner, M
    Zaritsky, R
    Pertsov, A
    [J]. PHYSICAL REVIEW LETTERS, 2005, 95 (09)
  • [38] Dynamics of bound states of same-chirality spiral waves
    Zemlin, Christian W.
    Mukund, Karthik
    Biktashev, Vadim N.
    Pertsov, Arkady M.
    [J]. PHYSICAL REVIEW E, 2006, 74 (01):
  • [39] Global control of spiral wave dynamics in an excitable domain of circular and elliptical shape -: art. no. 018304
    Zykov, VS
    Bordiougov, G
    Brandtstädter, H
    Gerdes, I
    Engel, H
    [J]. PHYSICAL REVIEW LETTERS, 2004, 92 (01) : 4