Rights statement: ©2012 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 - Kuramoto model with time-varying parameters
AU - Petkoski, Spase
AU - Stefanovska, Aneta
N1 - ©2012 American Physical Society
PY - 2012/10/23
Y1 - 2012/10/23
N2 - We analyze the Kuramoto model generalized by explicit consideration of deterministically time-varying parameters. The oscillators' natural frequencies and/or couplings are influenced by external forces with constant or distributed strengths. A dynamics of the collective rhythms is observed, consisting of the external system superimposed on the autonomous one, a characteristic feature of many thermodynamically open systems. This deterministic, stable, continuously time-dependent, collective behavior is fully described, and the external impact to the original system is defined in both the adiabatic and the nonadiabatic limits.
AB - We analyze the Kuramoto model generalized by explicit consideration of deterministically time-varying parameters. The oscillators' natural frequencies and/or couplings are influenced by external forces with constant or distributed strengths. A dynamics of the collective rhythms is observed, consisting of the external system superimposed on the autonomous one, a characteristic feature of many thermodynamically open systems. This deterministic, stable, continuously time-dependent, collective behavior is fully described, and the external impact to the original system is defined in both the adiabatic and the nonadiabatic limits.
U2 - 10.1103/PhysRevE.86.046212
DO - 10.1103/PhysRevE.86.046212
M3 - Journal article
VL - 86
JO - Physical Review E
JF - Physical Review E
SN - 1539-3755
IS - 4
M1 - 046212
ER -