Rights statement: ©2013 American Physical Society
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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - Mean-field and mean-ensemble frequencies of a system of coupled oscillators
AU - Petkoski, Spase
AU - Iatsenko, Dima
AU - Basnarkov, Lasko
AU - Stefanovska, Aneta
N1 - ©2013 American Physical Society
PY - 2013/3/18
Y1 - 2013/3/18
N2 - 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.
AB - 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.
KW - Coupled oscillators
KW - KURAMOTO MODEL
KW - mean-ensemble frequencies
KW - mean-field frequencies
KW - phase oscillators
KW - traveling wave
KW - cooperative systems
KW - coupling function
U2 - 10.1103/PhysRevE.87.032908
DO - 10.1103/PhysRevE.87.032908
M3 - Journal article
VL - 87
JO - Physical Review E
JF - Physical Review E
SN - 1539-3755
IS - 3
M1 - 032908
ER -