Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2012-01-09
Nonlinear Sciences
Chaotic Dynamics
4 pages, 5 figures
Scientific paper
The Kuramoto model describes a system of globally coupled phase-only oscillators with different natural frequencies. The model in the steady state exhibits a phase transition as a function of the coupling parameter between a low-coupling incoherent phase in which the oscillators oscillate independently and a high-coupling synchronized phase in which they oscillate with a common frequency. Here, we consider a uniform distribution for the natural frequencies, for which the phase transition is of first oder. We study how the system close to the phase transition relaxes in time to the steady state while starting from an initial homogeneous state. In this case, the relaxation process occurs as a step-like jump in the order parameter, and has been previously interpreted as suggesting the existence of metastable states. By analyzing (i) the distribution of the jump time, and (ii) the distribution of the order parameter in the steady state, we provide evidence to rule out the existence of any metastable states.
Ghosh Anandamohan
Gupta Shamik
No associations
LandOfFree
Relaxation dynamics of the Kuramoto model with uniformly distributed natural frequencies does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Relaxation dynamics of the Kuramoto model with uniformly distributed natural frequencies, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Relaxation dynamics of the Kuramoto model with uniformly distributed natural frequencies will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-643181