Chaotic wandering and bifurcations in coupled chaotic neurons

Citation
T. Yoshinaga et H. Kawakami, Chaotic wandering and bifurcations in coupled chaotic neurons, NONLIN ANAL, 47(8), 2001, pp. 5357-5365
Citations number
7
Categorie Soggetti
Mathematics
Journal title
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
ISSN journal
0362546X → ACNP
Volume
47
Issue
8
Year of publication
2001
Part
8
Pages
5357 - 5365
Database
ISI
SICI code
0362-546X(200108)47:8<5357:CWABIC>2.0.ZU;2-G
Abstract
We investigate a mechanism of the generation of chaotic wandering observed in a four-neurons coupled chaotic neural network with coupling coefficients determined by two orthogonal stored patterns. Through the analysis of a th ree dimensional noninvertible map describing the essential dynamics of the network, we found that the chaotic wandering phenomenon occurs due to both a global bifurcation of periodic points and a collapse of chaos.