Measuring rotation sets of coupled oscillators

P. Ashwin, James W Swift

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

We present a simple way of measuring the rotation set of a system of coupled oscillators. The data is scanned to look for approximate periodic orbits and the rotation vectors of these periodic orbits are computed. For systems in the presence of low level noise, the convex hull of the computed points corresponds to the chain transitive rotation set provided no 'false' periodic orbits are found. We test our method on the sine-circle map, the Kim-Ostlund torus map and a system of three coupled electronic oscillators, and discuss the effect of noise on the results.

Original languageEnglish (US)
Article number009
Pages (from-to)925-942
Number of pages18
JournalNonlinearity
Volume7
Issue number3
DOIs
StatePublished - 1994
Externally publishedYes

Fingerprint

Coupled Oscillators
Periodic Orbits
Orbits
oscillators
orbits
Circle Map
Convex Hull
Torus
Electronics
electronics

ASJC Scopus subject areas

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

Cite this

Measuring rotation sets of coupled oscillators. / Ashwin, P.; Swift, James W.

In: Nonlinearity, Vol. 7, No. 3, 009, 1994, p. 925-942.

Research output: Contribution to journalArticle

Ashwin, P. ; Swift, James W. / Measuring rotation sets of coupled oscillators. In: Nonlinearity. 1994 ; Vol. 7, No. 3. pp. 925-942.
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