BIFURCATIONS, BURSTINGS, CHAOS AND CRISES IN THE ROSE-HINDMARSH MODELFOR NEURONAL-ACTIVITY

Authors
FAN YS HOLDEN AV
Citation
Ys. Fan et Av. Holden, BIFURCATIONS, BURSTINGS, CHAOS AND CRISES IN THE ROSE-HINDMARSH MODELFOR NEURONAL-ACTIVITY, Chaos, solitons and fractals, 3(4), 1993, pp. 439-449
Citations number
18
Categorie Soggetti
Mathematics,Mechanics,Engineering,"Physics, Applied
Journal title
Chaos, solitons and fractals → ACNP
ISSN journal
09600779
Volume
3
Issue
4
Year of publication
1993
Pages
439 - 449
Database
ISI
SICI code
0960-0779(1993)3:4<439:BBCACI>2.0.ZU;2-L
Abstract
Three patterns of burst generation and chaos mechanism have been prese nted in the Rose-Hindmarsh model for different parameter regions. In t he present paper, we describe the fourth burst pattern exhibited in th e model for I less-than-or-equal-to 2.3, and obtain the bifurcation po rtrait for this model over parameter space. The portrait gives a quali tative explanation of burst generation and chaotic mechanism, and prov ides a qualitative representation how the system evolves over the para meter space.