CLUSTERING BEHAVIOR OF TIME-DELAYED NEAREST-NEIGHBOR COUPLED OSCILLATORS

被引:63
作者
NAKAMURA, Y [1 ]
TOMINAGA, F [1 ]
MUNAKATA, T [1 ]
机构
[1] KAWASAKI STEEL CHEM IND CO LTD,PLANT CONTROL TECHNOL SECT,CHIBA 260,JAPAN
来源
PHYSICAL REVIEW E | 1994年 / 49卷 / 06期
关键词
D O I
10.1103/PhysRevE.49.4849
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 analyze both numerically and theoretically the dynamical behaviors of systems composed of limit-cycle oscillators, which are coupled by a time-delayed nearest-neighbor interaction. In this system we found cluster states which are characterized by a phase difference of neighboring oscillators and their collective frequency. A time-delay turns out to have an important effect on the stability of various cluster states.
引用
收藏
页码:4849 / 4856
页数:8
相关论文
共 21 条
[11]   VARIETY AND GENERALITY OF CLUSTERING IN GLOBALLY COUPLED OSCILLATORS [J].
OKUDA, K .
PHYSICA D, 1993, 63 (3-4) :424-436
[12]  
SAKAGUCHI S, 1988, PROG THEOR PHYS, V79, P300
[13]   COOPERATIVE PHENOMENA IN TWO-DIMENSIONAL ACTIVE ROTATOR SYSTEMS [J].
SHINOMOTO, S ;
KURAMOTO, Y .
PROGRESS OF THEORETICAL PHYSICS, 1986, 75 (06) :1319-1327
[14]  
SHUSTER HG, 1990, BIOL CYBERN, V64, P77
[15]  
SHUSTER HG, 1989, PROG THEOR PHYS, V81, P939
[16]   COOPERATIVE DYNAMICS IN VISUAL PROCESSING [J].
SOMPOLINSKY, H ;
GOLOMB, D ;
KLEINFELD, D .
PHYSICAL REVIEW A, 1991, 43 (12) :6990-7011
[17]   PHASE-LOCKING AND CRITICAL PHENOMENA IN LATTICES OF COUPLED NONLINEAR OSCILLATORS WITH RANDOM INTRINSIC FREQUENCIES [J].
STROGATZ, SH ;
MIROLLO, RE .
PHYSICA D, 1988, 31 (02) :143-168
[18]   ATTRACTOR CROWDING IN OSCILLATOR ARRAYS [J].
WIESENFELD, K ;
HADLEY, P .
PHYSICAL REVIEW LETTERS, 1989, 62 (12) :1335-1338
[19]   OBSERVATION OF ANTIPHASE STATES IN A MULTIMODE LASER [J].
WIESENFELD, K ;
BRACIKOWSKI, C ;
JAMES, G ;
ROY, R .
PHYSICAL REVIEW LETTERS, 1990, 65 (14) :1749-1752
[20]   BIOLOGICAL RHYTHMS AND BEHAVIOR OF POPULATIONS OF COUPLED OSCILLATORS [J].
WINFREE, AT .
JOURNAL OF THEORETICAL BIOLOGY, 1967, 16 (01) :15-&