Coarse-graining the dynamics
of coupled oscillators
Abstract:
We present an equation-free computational approach to the study of the
coarse-grained dynamics of finite
assemblies of non-identical
coupled oscillators at and near full synchronization. We use
coarse-grained observables which account for the (rapidly developing)
correlations between phase angles and oscillator natural frequencies.
Exploiting short bursts of appropriately initialized detailed
simulations, we circumvent the derivation of closures for the long-term
dynamics of the assembly statistics.
Phys. Rev. Lett. 96,
144101 (2006).
Manuscript available in PDF and PS format.