Transformation between dense and sparse spirals in symmetrical bistable media

被引:4
作者
He, Ya-Feng [1 ,2 ]
Ai, Bao-Quan [1 ,3 ,4 ]
Hu, Bambi [1 ,5 ]
机构
[1] Hong Kong Baptist Univ, Dept Phys, Ctr Nonlinear Studies, Beijing Hong Kong Singapore Joint Ctr Nonlinear &, Kowloon Tong, Hong Kong, Peoples R China
[2] Hebei Univ, Coll Phys Sci & Technol, Baoding 071002, Peoples R China
[3] S China Normal Univ, Lab Quantum Informat Technol, ICMP, Guangzhou 510006, Guangdong, Peoples R China
[4] S China Normal Univ, SPTE, Guangzhou 510006, Guangdong, Peoples R China
[5] Univ Houston, Dept Phys, Houston, TX 77204 USA
基金
中国国家自然科学基金;
关键词
REACTION-DIFFUSION SYSTEM; SELF-REPLICATING SPOTS; PATTERN-FORMATION; EXCITABLE MEDIA; CURVED FRONTS; WAVES; DYNAMICS; PROPAGATION; GEOMETRY; LIMIT;
D O I
10.1063/1.3425868
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Transformation between dense and sparse spirals is studied numerically based on a bistable FitzHugh-Nagumo model. It is found that the dense spiral can transform into two types of sparse spirals via a subcritical bifurcation: positive phase sparse spiral and negative phase sparse spiral. The choice of the two types of sparse spirals after the transformation is affected remarkably by the boundary effect if a small domain size is applied. Moreover, the boundary effect gives rise to novel meandering of sparse spiral with only outward petals. (C) 2010 American Institute of Physics. [doi:10.1063/1.3425868]
引用
收藏
页数:5
相关论文
共 32 条
[21]   PATTERN-FORMATION BY INTERACTING CHEMICAL FRONTS [J].
LEE, KJ ;
MCCORMICK, WD ;
OUYANG, Q ;
SWINNEY, HL .
SCIENCE, 1993, 261 (5118) :192-194
[22]   Sinklike spiral waves in oscillatory media with a disk-shaped inhomogeneity [J].
Li, Bing-Wei ;
Zhang, Hong ;
Ying, He-Ping ;
Chen, Wen-Qiang ;
Hu, Gang .
PHYSICAL REVIEW E, 2008, 77 (05)
[23]   Transition from simple rotating chemical spirals to meandering and traveling spirals [J].
Li, G ;
Ouyang, Q ;
Petrov, V ;
Swinney, HL .
PHYSICAL REVIEW LETTERS, 1996, 77 (10) :2105-2108
[24]  
LI G, 1996, J CHEM PHYS, V105, P24
[25]   Cookbook asymptotics for spiral and scroll waves in excitable media [J].
Margerit, D ;
Barkley, D .
CHAOS, 2002, 12 (03) :636-649
[26]   Control of waves, patterns and turbulence in chemical systems [J].
Mikhailov, AS ;
Showalter, K .
PHYSICS REPORTS-REVIEW SECTION OF PHYSICS LETTERS, 2006, 425 (2-3) :79-194
[27]   New ideas about atrial fibrillation 50 years on [J].
Nattel, S .
NATURE, 2002, 415 (6868) :219-226
[28]   Resonant pattern formation in a chemical system [J].
Petrov, V ;
Ouyang, Q ;
Swinney, HL .
NATURE, 1997, 388 (6643) :655-657
[29]   Reaction-diffusion patterns on a disk or a square in a model with long-range interaction [J].
Sheintuch, M ;
Nekhamkina, O .
JOURNAL OF CHEMICAL PHYSICS, 1997, 107 (19) :8165-8174
[30]   Patterns of the ferrocyanide-iodate-sulfite reaction revisited: The role of immobilized carboxylic functions [J].
Szalai, Istvan ;
De Kepper, Patrick .
JOURNAL OF PHYSICAL CHEMISTRY A, 2008, 112 (05) :783-786