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
收藏
页码：143 / 163
页数：21
相关论文
共 50 条
  • [21] Synchronization universality classes and stability of smooth coupled map lattices
    Bagnoli, F
    Rechtman, R
    [J]. PHYSICAL REVIEW E, 2006, 73 (02):
  • [22] Chaotic Synchronization in Coupled Map Lattices with Periodic Boundary Conditions
    Lin, Wen-Wei
    Wang, Yi-Qian
    [J]. SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2002, 1 (02): : 175 - 189
  • [23] Synchronization in two-layer bistable coupled map lattices
    Nekorkin, VI
    Kazantsev, VB
    Velarde, MG
    [J]. PHYSICA D, 2001, 151 (01): : 1 - 26
  • [24] Partial and complete periodic synchronization in coupled discontinuous map lattices
    杨科利
    陈会云
    杜伟伟
    金涛
    屈世显
    [J]. Chinese Physics B, 2014, 23 (07) : 335 - 340
  • [25] A new approach to synchronization analysis of linearly coupled map lattices
    Lu, Wenlian
    Chen, Tianping
    [J]. CHINESE ANNALS OF MATHEMATICS SERIES B, 2007, 28 (02) : 149 - 160
  • [26] Parameter identification and chaos synchronization for uncertain coupled map lattices
    Lu, Ling
    Li, Yi
    Sun, Ao
    [J]. NONLINEAR DYNAMICS, 2013, 73 (04) : 2111 - 2117
  • [27] Parameter identification and chaos synchronization for uncertain coupled map lattices
    Ling Lü
    Yi Li
    Ao Sun
    [J]. Nonlinear Dynamics, 2013, 73 : 2111 - 2117
  • [28] A New Approach to Synchronization Analysis of Linearly Coupled Map Lattices
    Wenlian LU Tianping CHEN School of Mathematical Sciences and Laboratory of Mathematics for Nonlinear Sciences
    [J]. Chinese Annals of Mathematics,Series B, 2007, (02) : 149 - 160
  • [29] Partial and complete periodic synchronization in coupled discontinuous map lattices
    Yang Ke-Li
    Chen Hui-Yun
    Du Wei-Wei
    Jin Tao
    Qu Shi-Xian
    [J]. CHINESE PHYSICS B, 2014, 23 (07)
  • [30] Chaos synchronization in long-range coupled map lattices
    Anteneodo, C
    Batista, AM
    Viana, RL
    [J]. PHYSICS LETTERS A, 2004, 326 (3-4) : 227 - 233
12345