5 research outputs found
Extreme events in two dimensional disordered nonlinear lattices
Spatiotemporal complexity is induced in a two dimensional nonlinear
disordered lattice through the modulational instability of an initially weakly
perturbed excitation. In the course of evolution we observe the formation of
transient as well as persistent localized structures, some of which have
extreme magnitude. We analyze the statistics of occurrence of these extreme
collective events and find that the appearance of transient extreme events is
more likely in the weakly nonlinear regime. We observe a transition in the
extreme events recurrence time probability from exponential, in the
nonlinearity dominated regime, to power law for the disordered one.Comment: 5 figures, 5 page