Kuramoto model with time-varying parameters

Petkoski, Spase and Stefanovska, Aneta (2012) Kuramoto model with time-varying parameters. Physical Review E, 86 (4). ISSN 1539-3755

[img]
Preview
PDF
e046212.pdf - Published Version

Download (590kB)

Abstract

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.

Item Type:
Journal Article
Journal or Publication Title:
Physical Review E
Additional Information:
©2012 American Physical Society
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/aacsb/disciplinebasedresearch
Subjects:
ID Code:
63046
Deposited By:
Deposited On:
21 Mar 2013 14:00
Refereed?:
Yes
Published?:
Published
Last Modified:
12 Jul 2020 04:08