In this paper we present findings from an investigation of synchronization of linearly diffusively coupled van der Pol oscillators. The stability boundary of the in-phase mode of two identical oscillators in terms of the two coupling parameters is determined numerically. We show that in addition to the out-of-phase and in-phase motions of the oscillators there exist two other phase-locked motions and behavior that appears chaotic. The effect of detuning the oscillators from each other is also presented. Finally, the analytical and numerical results from an investigation of the in-phase mode system of n coupled oscillators is presented.
An Investigation of Coupled van der Pol Oscillators
Contributed by the Technical Committee on Vibration and Sound for publication in the JOURNAL OF VIBRATION AND ACOUSTICS. Manuscript received Sept. 2000; revised Sept. 2002. Associate Editor: A. Vakakis.
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Low , L. A., Reinhall , P. G., and Storti, D. W. (April 1, 2003). "An Investigation of Coupled van der Pol Oscillators ." ASME. J. Vib. Acoust. April 2003; 125(2): 162–169. https://doi.org/10.1115/1.1553469
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