Globally coupled maps with time delay interactions

被引：24

作者：

Jiang, Y

机构：

[1] Univ Autonoma Metropolitana Iztapalapa, Dept Fis, Mexico City 09340, DF, Mexico

[2] Univ Autonoma Estado Morelos, Fac Ciencias, Cuernavaca, Morelos, Mexico

来源：

PHYSICS LETTERS A | 2000年 / 267卷 / 5-6期

关键词：

D O I：

10.1016/S0375-9601(00)00135-3

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyze the dynamical behavior of globally coupled logistic maps with time-delayed interaction. It is found that certain properties of time-delay coupling could lead to the clustering at low couplings and the break-up of clusters (desynchronization) in the strong coupling regimes. It is also demonstrated that the system of two coupled logistic maps may exhibit multistability and on-off intermittency for properly chosen delay times. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

收藏

页码：342 / 349

页数：8

相关论文

共 39 条

[1] DYNAMICS OF FUNCTIONAL COUPLING IN THE CEREBRAL-CORTEX - AN ATTEMPT AT A MODEL-BASED INTERPRETATION [J].

AERTSEN, A ;

ERB, M ;

PALM, G .

PHYSICA D-NONLINEAR PHENOMENA, 1994, 75 (1-3) :103-128

[2] RIDDLED BASINS [J].

Alexander, J. C. ;

Yorke, James A. ;

You, Zhiping ;

Kan, I. .

INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1992, 2 (04) :795-813

[3]

[Anonymous], 1984, CHEM OSCILLATIONS

[4] AMPLITUDE RESPONSE OF COUPLED OSCILLATORS [J].

ARONSON, DG ;

ERMENTROUT, GB ;

KOPELL, N .

PHYSICA D, 1990, 41 (03) :403-449

[5] Cooperative behavior of a chain of synaptically coupled chaotic neurons [J].

Bazhenov, M ;

Huerta, R ;

Rabinovich, MI ;

Sejnowski, T .

PHYSICA D, 1998, 116 (3-4) :392-400

[6] Dynamics of a ring of pulse-coupled oscillators: Group theoretic approach [J].

Bressloff, PC ;

Coombes, S ;

deSouza, B .

PHYSICAL REVIEW LETTERS, 1997, 79 (15) :2791-2794

[7] STABLE, OSCILLATORY, AND CHAOTIC REGIMES IN THE DYNAMICS OF SMALL NEURAL NETWORKS WITH DELAY [J].

CHAPEAUBLONDEAU, F ;

CHAUVET, G .

NEURAL NETWORKS, 1992, 5 (05) :735-743

[8] Onset of cooperative entrainment in limit-cycle oscillators with uniform all-to-all interactions: Bifurcation of the order function [J].

Daido, H .

PHYSICA D-NONLINEAR PHENOMENA, 1996, 91 (1-2) :24-66

[9] Strange waves in coupled-oscillator arrays: Mapping approach [J].

Daido, H .

PHYSICAL REVIEW LETTERS, 1997, 78 (09) :1683-1686

[10] INTRINSIC FLUCTUATIONS AND A PHASE-TRANSITION IN A CLASS OF LARGE POPULATIONS OF INTERACTING OSCILLATORS [J].

DAIDO, H .

JOURNAL OF STATISTICAL PHYSICS, 1990, 60 (5-6) :753-800

← 1 2 3 4 →