Collective Behavior of a Ring of Van Der Pol Oscillators under Gaussian and Random Coupling Schemes

Miguel A.  Barron; Dulce Y.  Medina; Isaias  Hilerio

doi:10.4236/ojapps.2014.47036

Miguel A. Barron, Dulce Y. Medina, Isaias Hilerio

Abstract: The collective behavior of a ring of coupled identical van der Pol oscillators is numerically studied in this work. Constant, gaussian and random distributions of the coupling parameter along the ring are considered. Three values of the oscillators constant are assumed in order to cover from quasilinear to nonlinear dynamic performance. Single and multiple coupled frequencies are obtained using power spectra of the long term time series. Phase portraits are obtained from numerical simulations, and the coupled behavior is analyzed, compared and discussed.

Keywords: Coupled Oscillators, Coupling Parameter, Gaussian Distribution, Oscillators Ring, Random Distribution, Van Der Pol Oscillator

Cite this paper: Barron, M. , Medina, D. and Hilerio, I. (2014) Collective Behavior of a Ring of Van Der Pol Oscillators under Gaussian and Random Coupling Schemes. Open Journal of Applied Sciences, 4, 383-391. doi: 10.4236/ojapps.2014.47036.

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