TY - JOUR A2 - Candia, Julian AU - Ray, Somrita AU - Sen, Monoj Kumar AU - Baura, Alendu AU - Bag, Bidhan Chandra PY - 2013 DA - 2013/09/01 TI - Synchronization of Nonidentical Coupled Phase Oscillators in the Presence of Time Delay and Noise SP - 591513 VL - 2013 AB - We have studied in this paper the dynamics of globally coupled phase oscillators having the Lorentzianfrequency distribution with zero mean in the presence of both time delay and noise. Noise maybe Gaussian or non-Gaussian in characteristics. In the limit of zero noise strength, we find thatthe critical coupling strength (CCS) increases linearly as a function of time delay. Thus the roleof time delay in the dynamics for the deterministic system is qualitatively equivalent to the effectof 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 ofthe time delay. The linear dependence of the critical coupling strength on the noise intensity alsochanges to become nonlinear due to creation of additional phase difference among the oscillatorsby the time delay. We find that the creation of phase difference plays an important role in thedynamics of the system when the intrinsic correlation induced by the finite correlation time of thenoise is small. We also find that the critical coupling is higher for the non-Gaussian noise comparedto the Gaussian one due to higher effective noise strength. SN - 2356-7244 UR - https://doi.org/10.1155/2013/591513 DO - 10.1155/2013/591513 JF - Journal of Complex Systems PB - Hindawi Publishing Corporation KW - ER -