Mean-field and mean-ensemble frequencies of a system of coupled oscillators

Petkoski, Spase and Iatsenko, Dima and Basnarkov, Lasko and Stefanovska, Aneta (2013) Mean-field and mean-ensemble frequencies of a system of coupled oscillators. Physical Review E, 87 (3). ISSN 1539-3755

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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 traveling wave. We show that the mean-ensemble frequency of such systems differs from their entrainment frequency. In some scenarios these frequencies take values that, counterintuitively, 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 nontrivial distribution of parameters is common.

Item Type:
Journal Article
Journal or Publication Title:
Physical Review E
Additional Information:
©2013 American Physical Society
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/aacsb/disciplinebasedresearch
Subjects:
ID Code:
63047
Deposited By:
Deposited On:
21 Mar 2013 13:42
Refereed?:
Yes
Published?:
Published
Last Modified:
12 Jul 2020 04:08