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On synchronized solutions of coupled Van-der-Pol equations

  1. Andreas Teufel*

Article first published online: 24 NOV 2004

DOI: 10.1002/pamm.200410054

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PAMM

PAMM

Volume 4, Issue 1, pages 145–146, December 2004

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How to Cite

Teufel, A. (2004), On synchronized solutions of coupled Van-der-Pol equations. Proc. Appl. Math. Mech., 4: 145–146. doi: 10.1002/pamm.200410054

Author Information

  1. Institue of Mechanics, Vienna University of Technology, Wiedner Hauptstraße 8-10, A-1040 Vienna, Austria

*Phone: +43 1 58801 32556, Fax: +43 1 58801 32598

Publication History

  1. Issue published online: 24 NOV 2004
  2. Article first published online: 24 NOV 2004

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Abstract

Two linearly coupled Van-der-Pol oscillators are considered in the case of a small frequency detuning of the oscillators as well as weak coupling. The occurring resonant Hopf bifurcation leading to synchronized motions is examined and analytical approximations of the oscillation amplitudes and the synchronous frequency are derived. (© 2004 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim)

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