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From U sequence to Farey sequence: A unification of one-parameter scenarios

  • Southern Methodist University

Research output: Contribution to journalArticlepeer-review

48 Scopus citations

Abstract

A mechanism is presented and analyzed that accomplishes the unification of a number of experimentally observed one-parameter sequences of dynamical behavior as parts of a continuous spectrum that ranges from the U sequence to Farey sequences. Farey sequences, by which we mean one-parameter sequences whose periodic windows correspond to Farey series of rational numbers, have generally been associated with motion on a state-space torus. The mechanism analyzed here does not involve a torus.

Original languageEnglish
Pages (from-to)4223-4235
Number of pages13
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume41
Issue number8
DOIs
StatePublished - 1990

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