RETURN TIME STATISTICS OF EXTREME EVENTS IN DISCRETE NONLINEAR LATTICES

Abstract

Time statistics of extreme events (EEs) in one-dimensional discrete Salerno lattices is investigated numerically. We show that the dependence of the mean return time of EEs on the amplitude threshold can be used as a criterion to differentiate between various dynamical regimes of the extreme events. Also, we found that dispersion of points on the time probability distribution curve can be an indicator of the appearance of EEs in the system, but it has to be complemented with other statistical measures. The results obtained here can be used to distinguish between different dynamical regimes and as identifiers of the EEs existence in the lattice system.