Suppression of period doubling in symmetric systems

James W. Swift, Kurt Wiesenfeld

Research output: Contribution to journalArticlepeer-review

171 Scopus citations


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
Issue number9
StatePublished - 1984

ASJC Scopus subject areas

  • General Physics and Astronomy


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