Time-delayed spatial patterns in a two-dimensional array of coupled oscillators

被引:52
作者
Jeong, SO [1 ]
Ko, TW [1 ]
Moon, HT [1 ]
机构
[1] Korea Adv Inst Sci & Technol, Dept Phys, Taejon 305701, South Korea
基金
新加坡国家研究基金会;
关键词
D O I
10.1103/PhysRevLett.89.154104
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigated the effect of time delays on phase configurations in a set of two-dimensional coupled phase oscillators. Each oscillator is allowed to interact with its neighbors located within a finite radius, which serves as a control parameter in this study. It is found that distance-dependent time delays induce various patterns including traveling rolls, squarelike and rhombuslike patterns, spirals, and targets. We analyzed the stability boundaries of the emerging patterns and briefly pointed out the possible empirical implications of such time-delayed patterns.
引用
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页数:4
相关论文
共 28 条
[1]   The effect of time delay on spatiotemporal dynamics in one-dimensional discrete excitable media [J].
Chung, TH ;
Kim, S .
INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2001, 15 (02) :167-176
[2]   PATTERN-FORMATION OUTSIDE OF EQUILIBRIUM [J].
CROSS, MC ;
HOHENBERG, PC .
REVIEWS OF MODERN PHYSICS, 1993, 65 (03) :851-1112
[3]   Traveling electrical waves in cortex: insights from phase dynamics and speculation on a computational role [J].
Ermentrout, GB ;
Kleinfeld, D .
NEURON, 2001, 29 (01) :33-44
[4]   OSCILLATORY RESPONSES IN CAT VISUAL-CORTEX EXHIBIT INTER-COLUMNAR SYNCHRONIZATION WHICH REFLECTS GLOBAL STIMULUS PROPERTIES [J].
GRAY, CM ;
KONIG, P ;
ENGEL, AK ;
SINGER, W .
NATURE, 1989, 338 (6213) :334-337
[5]  
Haken H., 1995, PRINCIPLES BRAIN FUN
[6]   Experimental observation of the amplitude death effect in two coupled nonlinear oscillators [J].
Herrero, R ;
Figueras, M ;
Rius, J ;
Pi, F ;
Orriols, G .
PHYSICAL REVIEW LETTERS, 2000, 84 (23) :5312-5315
[7]   Nearest pattern interaction and global pattern formation [J].
Jeong, SO ;
Moon, HT ;
Ko, TW .
PHYSICAL REVIEW E, 2000, 62 (06) :7778-7780
[8]   Stochastic resonance in coupled oscillator systems with time delay [J].
Kim, S ;
Park, SH ;
Pyo, HB .
PHYSICAL REVIEW LETTERS, 1999, 82 (08) :1620-1623
[9]   Multistability in coupled oscillator systems with time delay [J].
Kim, S ;
Park, SH ;
Ryu, CS .
PHYSICAL REVIEW LETTERS, 1997, 79 (15) :2911-2914
[10]   Phase dynamics in the biological neural networks [J].
Kim, S ;
Lee, SG .
PHYSICA A, 2000, 288 (1-4) :380-396