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arXiv · 1302.7164

Mean Field and Mean Ensemble Frequencies of a System of Coupled Oscillators

Spase Petkoski·Dmytro Iatsenko·Lasko Basnarkov·Aneta Stefanovska
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Abstract

We investigate interacting phase oscillators whose mean field is at a different frequency from the mean or mode of their natural frequencies. The associated asymmetries lead to a macroscopic travelling wave. We show that the mean ensemble frequency of such systems differs from their entrainment frequency. In some scenarios these frequencies take values that, counter-intuitively, lie beyond the limits of the natural frequencies. The results indicate that a clear distinction should be drawn between the two variables describing the macroscopic dynamics of cooperative systems. This has important implications for real systems where a non-trivial distribution of parameters is common.

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Spase Petkoski, Dmytro Iatsenko, Lasko Basnarkov, Aneta Stefanovska. 2013-02-28. Mean Field and Mean Ensemble Frequencies of a System of Coupled Oscillators. https://doi.org/10.1103/physreve.87.032908

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