Three identical oscillators with symmetric coupling

P. Ashwin; G. P. King; J. W. Swift

doi:10.1088/0951-7715/3/3/003

Three identical oscillators with symmetric coupling

P. Ashwin
, G. P. King
, J. W. Swift

Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

94 Scopus citations

Abstract

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.

Original language	English (US)
Article number	003
Pages (from-to)	585-601
Number of pages	17
Journal	Nonlinearity
Volume	3
Issue number	3
DOIs	https://doi.org/10.1088/0951-7715/3/3/003
State	Published - 1990

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics
General Physics and Astronomy
Applied Mathematics

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10.1088/0951-7715/3/3/003

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title = "Three identical oscillators with symmetric coupling",

abstract = "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.",

author = "P. Ashwin and King, \{G. P.\} and Swift, \{J. W.\}",

year = "1990",

doi = "10.1088/0951-7715/3/3/003",

language = "English (US)",

volume = "3",

pages = "585--601",

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AU - Ashwin, P.

AU - King, G. P.

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PY - 1990

Y1 - 1990

N2 - 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.

AB - 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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UR - https://www.scopus.com/pages/publications/36149029716#tab=citedBy

U2 - 10.1088/0951-7715/3/3/003

DO - 10.1088/0951-7715/3/3/003

M3 - Article

AN - SCOPUS:36149029716

SN - 0951-7715

VL - 3

SP - 585

EP - 601

JO - Nonlinearity

JF - Nonlinearity

IS - 3

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ER -

Three identical oscillators with symmetric coupling

Abstract

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