Rapid convergence of time-averaged frequency in phase synchronized systems

Jörn Davidsen, István Z. Kiss, John L. Hudson, and Raymond Kapral
Phys. Rev. E 68, 026217 – Published 26 August 2003
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Abstract

Numerical and experimental evidences are presented to show that many phase synchronized systems of nonidentical chaotic oscillators, where the chaotic state is reached through a period-doubling cascade, show rapid convergence of the time-averaged frequency. The speed of convergence toward the natural frequency scales as the inverse of the measurement period. The results also suggest an explanation for why such chaotic oscillators can be phase synchronized.

  • Received 22 April 2003

DOI:https://doi.org/10.1103/PhysRevE.68.026217

©2003 American Physical Society

Authors & Affiliations

Jörn Davidsen1,2,*, István Z. Kiss3, John L. Hudson3, and Raymond Kapral2,†

  • 1Max-Planck-Institut für Physik komplexer Systeme, Nöthnitzer Strasse 38, 01187 Dresden, Germany
  • 2Chemical Physics Theory Group, Department of Chemistry, University of Toronto, Toronto, Ontario, Canada M5S 3H6
  • 3Department of Chemical Engineering, 102 Engineers’ Way, University of Virginia, Charlottesville, Virginia 22904-4741, USA

  • *Electronic address: davidsen@mpipks-dresden.mpg.de
  • Electronic address: rkapral@chem.utoronto.ca

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Vol. 68, Iss. 2 — August 2003

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