Synchronization of Nonidentical Coupled Phase Oscillators in the Presence of Time Delay and Noise
Joint Authors
Baura, Alendu
Bag, Bidhan Chandra
Sen, Monoj Kumar
Ray, Somrita
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-01
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
We have studied in this paper the dynamics of globally coupled phase oscillators having the Lorentzian frequency distribution with zero mean in the presence of both time delay and noise.
Noise may be Gaussian or non-Gaussian in characteristics.
In the limit of zero noise strength, we find that the critical coupling strength (CCS) increases linearly as a function of time delay.
Thus the role of time delay in the dynamics for the deterministic system is qualitatively equivalent to the effect of frequency fluctuations of the phase oscillators by additive white noise in absence of time delay.
But for the stochastic model, the critical coupling strength grows nonlinearly with the increase of the time delay.
The linear dependence of the critical coupling strength on the noise intensity also changes to become nonlinear due to creation of additional phase difference among the oscillators by the time delay.
We find that the creation of phase difference plays an important role in the dynamics of the system when the intrinsic correlation induced by the finite correlation time of the noise is small.
We also find that the critical coupling is higher for the non-Gaussian noise compared to the Gaussian one due to higher effective noise strength.
American Psychological Association (APA)
Ray, Somrita& Sen, Monoj Kumar& Baura, Alendu& Bag, Bidhan Chandra. 2013. Synchronization of Nonidentical Coupled Phase Oscillators in the Presence of Time Delay and Noise. Journal of Complex Systems،Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-483337
Modern Language Association (MLA)
Ray, Somrita…[et al.]. Synchronization of Nonidentical Coupled Phase Oscillators in the Presence of Time Delay and Noise. Journal of Complex Systems No. 2013 (2013), pp.1-8.
https://search.emarefa.net/detail/BIM-483337
American Medical Association (AMA)
Ray, Somrita& Sen, Monoj Kumar& Baura, Alendu& Bag, Bidhan Chandra. Synchronization of Nonidentical Coupled Phase Oscillators in the Presence of Time Delay and Noise. Journal of Complex Systems. 2013. Vol. 2013, no. 2013, pp.1-8.
https://search.emarefa.net/detail/BIM-483337
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-483337