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.
引用
收藏
页码:2640 / 2648
页数:9
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