DYNAMICS OF A GLOBALLY COUPLED OSCILLATOR ARRAY

被引：111

作者：

TSANG, KY

MIROLLO, RE

STROGATZ, SH

WIESENFELD, K

机构：

[1] GEORGIA TECH,SCH PHYS,ATLANTA,GA 30332

[2] BOSTON COLL,DEPT MATH,CHESTNUT HILL,MA 02167

[3] MIT,DEPT MATH,CAMBRIDGE,MA 02139

来源：

PHYSICA D | 1991年 / 48卷 / 01期

基金：

美国国家科学基金会;

关键词：

D O I：

10.1016/0167-2789(91)90054-D

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a set of N globally coupled ordinary differential equations of the form encountered in circuit analysis of superconducting Josephson junction arrays. Particular attention is paid to two kinds of simple time-periodic behavior, known as in-phase and splay phase states. Some results valid for general N, as well as further results for N = 2 and N --> infinity, are presented; a recurring theme is the appearance of very weak dynamics near the periodic states. The implications for Josephson junction arrays are discussed.

引用

页码：102 / 112

页数：11

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