Mean-field and mean-ensemble frequencies of a system of coupled oscillators
Journal
Physical Review E
Date Issued
2013-03-18
Author(s)
Petkoski, Spase
Latsenko, Dmytro
Stefanovska, Aneta
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.
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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