3 IDENTICAL OSCILLATORS WITH SYMMETRICAL COUPLING

被引:90
作者
ASHWIN, P
KING, GP
SWIFT, JW
机构
[1] Nonlinear Syst. Lab., Warwick Univ., Coventry
关键词
D O I
10.1088/0951-7715/3/3/003
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper is theoretical and experimental investigation of three identical oscillators with weak symmetric coupling. The authors find that the dynamics is governed by an ODE on the 2-torus with S3 symmetry. A new type of codimension-one global bifurcation in such systems is predicted, and found experimentally in a network of three coupled van der Pol oscillators.
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收藏
页码:585 / 601
页数:17
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