CLUSTERING BEHAVIOR OF OSCILLATOR ARRAYS

被引：33
作者：
FABINY, L
WIESENFELD, K
机构：
[1] School of Physics, Georgia Institute of Technology, Atlanta
来源：
PHYSICAL REVIEW A | 1991年 / 43卷 / 06期
关键词：
D O I：
10.1103/PhysRevA.43.2640
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
We consider the time-periodic behavior of oscillator arrays subject to global coupling. Results are presented for experiments on an electrical circuit comprised of p-n diode junctions, as well as numerical simulations of an array of iterative maps. In the vicinity of a single-element period-doubling bifurcation, a large number of periodic attractors coexist, differing by the degree of synchronization of the array. Certain general features of the observed dynamical behavior can be understood using a combination of stability analysis, symmetry considerations, combinatorics, and relative sizes of the basins of attraction.
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页码：2640 / 2648
页数：9
相关论文
共 46 条
[11]  
FERMI E, 1965, COLLECTED PAPERS E F, P978
[12]  
FERMI E, 1955, LA1940 LOS AL REP
[13]  
GOLUBITSKY M, 1986, CONT MATH, V56
[14]  
Golubitsky M. S., 1985, SINGULARITIES GROUPS
[15]  
GUCKENHEIMER J, 1981, NONLINEAR OSCILLATIO, pCH3
[16]   DYNAMIC STATES AND STABILITY OF LINEAR ARRAYS OF JOSEPHSON-JUNCTIONS [J].
HADLEY, P ;
BEASLEY, MR .
APPLIED PHYSICS LETTERS, 1987, 50 (10) :621-623
[17]   PHASE LOCKING OF JOSEPHSON-JUNCTION SERIES ARRAYS [J].
HADLEY, P ;
BEASLEY, MR ;
WIESENFELD, K .
PHYSICAL REVIEW B, 1988, 38 (13) :8712-8719
[18]   GENERIC BEHAVIOR OF COUPLED OSCILLATORS [J].
HOGG, T ;
HUBERMAN, BA .
PHYSICAL REVIEW A, 1984, 29 (01) :275-281
[19]  
Horowitz P., 1989, ART ELECT, P64
[20]   ADAPTATION AND SELF-REPAIR IN PARALLEL COMPUTING STRUCTURES [J].
HUBERMAN, BA ;
HOGG, T .
PHYSICAL REVIEW LETTERS, 1984, 52 (12) :1048-1051
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