Self-organisation of random oscillators with Levy stable distributions

Paper in proceeding, 2015

A new possibility of self-organized behavior of stochastically driven oscillators is presented. It is shown that synchronization by Levy stable processes is significantly more efficient than that by oscillators with Gaussian statistics. The competition between organization and disorder is studied by considering an external noise with Levy characteristics where oscillation between synchrony and disorder can be found as well as competing self-organized sub-populations. The impact of outlier events from the tail of the distribution function was examined by artificially introducing a few additional oscillators with very strong coupling strengths and it is found that remarkably even one such rare and extreme event may govern the long term behavior of the coupled system.