Physics – Condensed Matter
Scientific paper
1997-01-10
Physics
Condensed Matter
62 pages (Latex/RevTex); two tables; submitted to Physica D
Scientific paper
The onset of collective behavior in a population of globally coupled oscillators with randomly distributed frequencies is studied for phase dynamical models with arbitrary coupling; the effect of a stochastic temporal variation in the frequencies is also included. The Fokker-Planck equation for the coupled Langevin system is reduced to a kinetic equation for the oscillator distribution function. Instabilities of the phase-incoherent state are studied by center manifold reduction to the amplitude dynamics of the unstable modes. Depending on the coupling, the coefficients in the normal form can be singular in the limit of weak instability when the diffusive effect of the noise is neglected. A detailed analysis of these singularities to all orders in the normal form expansion is presented. Physically, the singularities are interpreted as predicting an altered scaling of the entrained component near the onset of synchronization.
Crawford John David
Davies K. T. R.
No associations
LandOfFree
Synchronization of globally-coupled phase oscillators: singularities and scaling for general couplings 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 Synchronization of globally-coupled phase oscillators: singularities and scaling for general couplings, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Synchronization of globally-coupled phase oscillators: singularities and scaling for general couplings will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-564039