Extreme value theory for synchronization of coupled map lattices

被引：19

作者：

Faranda, D. ^{[1
,2
]}

Ghoudi, H. ^{[3
,5
]}

Guiraud, P. ^{[4
]}

Vaienti, S. ^{[5
]}

机构：

[1] Univ Paris Saclay, CNRS UMR CEA CNRS UVSQ 8212, CEA Saclay Orme Merisiers, LSCE IPSL, F-91191 Gif Sur Yvette, France

[2] London Math Lab, London, England

[3] Sfax Univ, Lab Dynam Syst & Combinator, Sfax, Tunisia

[4] Univ Valparaiso, Fac Ingn, CIMFAV, Valparaiso, Chile

[5] Univ Toulon & Var, Aix Marseille Univ, CNRS, CPT, Marseille, France

来源：

NONLINEARITY | 2018年 / 31卷 / 07期

关键词：

coupled lattice maps; extreme value theory; transfer operator; CONTINUOUS INVARIANT-MEASURES; DYNAMICAL-SYSTEMS; EXPANDING MAPS; RETURN TIMES;

D O I：

10.1088/1361-6544/aabc8e

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the probability of the appearance of synchronization in chaotic coupled map lattices is related to the distribution of the maximum of a certain observable evaluated along almost all orbits. We show that such a distribution belongs to the family of extreme value laws, whose parameters, namely the extremal index, allow us to get a detailed description of the probability of synchronization. Theoretical results are supported by robust numerical computations that allow us to go beyond the theoretical framework provided and are potentially applicable to physically relevant systems.

引用

页码：3326 / 3358

页数：33

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