Symbolic dynamics, synchronization and homoclinic bifurcations in a class of globally coupled maps

Authors
Qin, WX
Citation
Wx. Qin, Symbolic dynamics, synchronization and homoclinic bifurcations in a class of globally coupled maps, CHAOS SOL F, 13(1), 2002, pp. 43-54
Citations number
12
Categorie Soggetti
Multidisciplinary
Journal title
CHAOS SOLITONS & FRACTALS
ISSN journal
09600779 → ACNP
Volume
13
Issue
1
Year of publication
2002
Pages
43 - 54
Database
ISI
SICI code
0960-0779(200201)13:1<43:SDSAHB>2.0.ZU;2-S
Abstract
By using the method of symbolic dynamics, we discuss the global synchroniza tion and homoclinic bifurcations in a class of globally coupled systems wit h piecewise affine local map. We derive by virtue of admissibility conditio n the region of coupling strength for which the coupled system is globally synchronized. Homoclinic bifurcations are also discussed by making use of t he admissibility condition when the local system is the shift map. (C) 2001 Elsevier Science Ltd. All rights reserved.