SPLAY-PHASE ORBITS FOR EQUIVARIANT FLOWS ON TORI

被引：16
|
作者：
MIROLLO, RE
机构：
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 1994年 / 25卷 / 04期
关键词：
JOSEPHSON JUNCTIONS; PONIES ON A MERRY-GO-ROUND; SPLAY-PHASE ORBITS;
D O I：
10.1137/S0036141091217068
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper studies dynamical systems on the n-fold torus equivariant under a cyclic permutation of coordinates. It is proved that under a mild condition, these systems have splay-phase solutions. These are periodic orbits in which the n coordinates are given by the same function of time, but equally separated in phase. Applications to systems of equations used to model Josephson junction arrays are discussed.
引用
收藏
页码：1176 / 1180
页数：5
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