Suppression of period doubling in symmetric systems

James W Swift, Kurt Wiesenfeld

Research output: Contribution to journalArticle

160 Citations (Scopus)

Abstract

The role of symmetry is examined in systems displaying period-doubling instabilities. It is found that symmetric orbits will not undergo period doubling except in extraordinary cases. Such exceptional cases cannot occur in a large class of systems, including the sinusoidally driven damped pendulum and the Lorenz equations.

Original languageEnglish (US)
Pages (from-to)705-708
Number of pages4
JournalPhysical Review Letters
Volume52
Issue number9
DOIs
StatePublished - 1984
Externally publishedYes

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period doubling
retarding
pendulums
orbits
symmetry

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Suppression of period doubling in symmetric systems. / Swift, James W; Wiesenfeld, Kurt.

In: Physical Review Letters, Vol. 52, No. 9, 1984, p. 705-708.

Research output: Contribution to journalArticle

Swift, James W ; Wiesenfeld, Kurt. / Suppression of period doubling in symmetric systems. In: Physical Review Letters. 1984 ; Vol. 52, No. 9. pp. 705-708.
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