Synchronization of coupled map lattices

被引：0

作者：

Baraviera, Alexandre ^{[1
]}

Duarte, Pedro ^{[2
]}

Torres, Maria Joana ^{[3
,4
]}

机构：

[1] Univ Fed Rio Grande do Sul, Inst Matemat & Estat, Av Bento Goncalves 9500, BR-91500 Porto Alegre, RS, Brazil

[2] Univ Lisbon, Fac Ciencias, Dept Matemat, CMAF, P-1749016 Lisbon, Portugal

[3] Univ Minho, CMAT, Campus Gualtar, P-4700057 Braga, Portugal

[4] Univ Minho, Dept Matemat, Campus Gualtar, P-4700057 Braga, Portugal

来源：

PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY | 2023年 / 66卷 / 01期

关键词：

stochastic kernel; global; local synchronization; coupled map lattice; Hardy-Littlewood maximal operator; Amari neural network; Markov chain;

D O I：

10.1017/S0013091523000081

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we address the issue of synchronization of coupled systems, introducing concepts of local and global synchronization for a class of systems that extend the model of coupled map lattices. A criterion for local synchronization is given; numerical experiments are exhibited to illustrate the criteria and also to raise some questions in the end of the text.

引用

页码：143 / 163

页数：21

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