Feigenbaum networks

被引：3
作者：
Carvalho, R
Mendes, RV
Seixas, J
机构：
[1] Univ Lisbon, Grp Fis Matemat, P-1699 Lisbon, Portugal
[2] IST, DEEC, Lab Mecatron, P-1096 Lisbon, Portugal
[3] CERN, Div Theory, CH-1211 Geneva 23, Switzerland
来源：
PHYSICA D-NONLINEAR PHENOMENA | 1999年 / 126卷 / 1-2期
关键词：
Feigenbaum networks; periodic orbits; multistability;
D O I：
10.1016/S0167-2789(98)00198-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study dynamical systems composed of a set of coupled quadratic maps which, if uncoupled, would be on the Feigenbaum accumulation point. For two units we prove the existence of an infinite number of sinks for an open set of coupling parameters. In the limit of many units a mean-field analysis also implies the stabilization in periodic orbits of, at least, a subset of the coupled units. Possible applications in the fields of control of chaos, signal processing through complex dynamics and as models of self-organization, are discussed. (C) 1999 Elsevier Science B.V. All rights reserved.
引用
收藏
页码：27 / 37
页数：11
相关论文
共 23 条
[1]  
Amit DJ, 1989, MODELING BRAIN FUNCT, DOI DOI 10.1017/CBO9780511623257
[2]   A fully connected network of Bernoulli units with correlation learning [J].
Dente, JA ;
Mendes, RV .
PHYSICS LETTERS A, 1996, 211 (02) :87-93
[3]  
DUKE D, 1991, P C MEAS CHAOS HUM B
[4]   On mean field fluctuations in globally coupled logistic-type maps [J].
Ershov, SV ;
Potapov, AB .
PHYSICA D-NONLINEAR PHENOMENA, 1997, 106 (1-2) :9-38
[5]   Map with more than 100 coexisting low-period periodic attractors [J].
Feudel, U ;
Grebogi, C ;
Hunt, BR ;
Yorke, JA .
PHYSICAL REVIEW E, 1996, 54 (01) :71-81
[6]   CENTRAL PATTERN GENERATING AND RECOGNIZING IN OLFACTORY-BULB - A CORRELATION LEARNING RULE [J].
FREEMAN, WJ ;
YAO, Y ;
BURKE, B .
NEURAL NETWORKS, 1988, 1 (04) :277-288
[7]   SIMULATION OF CHAOTIC EEG PATTERNS WITH A DYNAMIC-MODEL OF THE OLFACTORY SYSTEM [J].
FREEMAN, WJ .
BIOLOGICAL CYBERNETICS, 1987, 56 (2-3) :139-150
[8]  
FREEMAN WJ, 1987, BEHAV NEUROSCI, V101, P397
[9]   SIMPLE-MODELS FOR BIFURCATIONS CREATING HORSESHOES [J].
GAMBAUDO, JM ;
TRESSER, C .
JOURNAL OF STATISTICAL PHYSICS, 1983, 32 (03) :455-476
[10]   DOES MIGRATION STABILIZE LOCAL-POPULATION DYNAMICS - ANALYSIS OF A DISCRETE METAPOPULATION MODEL [J].
GYLLENBERG, M ;
SODERBACKA, G ;
ERICSSON, S .
MATHEMATICAL BIOSCIENCES, 1993, 118 (01) :25-49
123