Three identical oscillators with symmetric coupling

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

Research output: Contribution to journalArticle

75 Citations (Scopus)

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 languageEnglish (US)
Article number003
Pages (from-to)585-601
Number of pages17
JournalNonlinearity
Volume3
Issue number3
DOIs
StatePublished - 1990
Externally publishedYes

Fingerprint

Van Der Pol Oscillator
Global Bifurcation
Coupled Oscillators
Experimental Investigation
Codimension
Torus
oscillators
Symmetry
symmetry

ASJC Scopus subject areas

  • Mathematical Physics
  • Statistical and Nonlinear Physics
  • Applied Mathematics
  • Mathematics(all)

Cite this

Three identical oscillators with symmetric coupling. / Ashwin, P.; King, G. P.; Swift, James W.

In: Nonlinearity, Vol. 3, No. 3, 003, 1990, p. 585-601.

Research output: Contribution to journalArticle

Ashwin, P. ; King, G. P. ; Swift, James W. / Three identical oscillators with symmetric coupling. In: Nonlinearity. 1990 ; Vol. 3, No. 3. pp. 585-601.
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