Resolving clusters in chaotic ensembles of globally coupled identical oscillators - art. no. 044102

Clustering in ensembles of globally coupled identical chaotic oscillators i s reconsidered using a twofold approach. Stability of clusters towards "ema nation'' of the elements is described with the evaporation Lyapunov exponen ts. It appears that direct numerical simulations of ensembles often lead to spurious clusters that have positive evaporation exponents, due to a numer ical trap. We propose a numerical method that surmounts the spurious cluste ring. We also demonstrate that clustering can be very sensitive to the numb er of elements in the ensemble.