Synchronization and cluster periodic solutions in globally coupled maps

被引:7
作者
Gelover-Santiago, AL
Lima, R
Martínez-Mekler, G
机构
[1] Univ Nacl Autonoma Mexico, Inst Quim, Mexico City 04510, DF, Mexico
[2] CNRS, Ctr Phys Theor, F-13288 Marseille 9, France
[3] Univ Nacl Autonoma Mexico, Ctr Ciencias Fis, Cuernavaca 62251, Morelos, Mexico
关键词
synchronization; globally coupled maps;
D O I
10.1016/S0378-4371(00)00139-4
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The purpose of this work is to investigate mechanisms by which synchronization takes place in networks of elements with global couplings. We consider a family of globally coupled nonlinear maps and find, for each model, sufficient conditions for synchronization. We also analyze bifurcations of syncrhonized dynamics to other homogeneous and cluster periodic solutions in terms of corresponding low-dimensional maps. (C) 2000 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:131 / 135
页数:5
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