Extreme events in two-dimensional disordered nonlinear lattices

PHYSICA D-NONLINEAR PHENOMENA

卷:252

Article

Maluckov, A.¹  Lazarides, N.^2,3  Tsironis, G. P.^2,3  Hadzievski, L. J.¹ 

[1] Univ Belgrade, Vinca Inst Nucl Sci, Belgrade 11001, Serbia

[2] Univ Crete, Dept Phys, Iraklion 71003, Greece

[3] Fdn Res & Technol Hellas, Inst Elect Struct & Laser, Iraklion 71110, Greece

关键词: Quenched disorder;    Nonlinearity;    Extreme events;   

DOI  :  10.1016/j.physd.2013.03.001

来源: Elsevier

【 摘 要 】

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. (C) 2013 Elsevier B.V. All rights reserved.

【 授权许可】

Free