Suppression of period doubling in symmetric systems

James W. Swift, Kurt Wiesenfeld

Research output: Contribution to journalArticle

161 Scopus citations

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 - Jan 1 1984
Externally publishedYes

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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