A method to calculate bifurcations in synaptically coupled Hodgkin-Huxley equations

Authors
Yoshinaga, T Sano, Y Kawakami, H
Citation
T. Yoshinaga et al., A method to calculate bifurcations in synaptically coupled Hodgkin-Huxley equations, INT J B CH, 9(7), 1999, pp. 1451-1458
Citations number
14
Categorie Soggetti
Multidisciplinary
Journal title
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN journal
02181274 → ACNP
Volume
9
Issue
7
Year of publication
1999
Pages
1451 - 1458
Database
ISI
SICI code
0218-1274(199907)9:7<1451:AMTCBI>2.0.ZU;2-8
Abstract
We propose a numerical method for calculating bifurcations of periodic solu tions observed in a model equation of Hodgkin-Huxley neurons coupled by exc itatory synapses with a time delay. To illustrate the validity of the metho d, bifurcations in two-coupled Hodgkin-Huxley equations with Variation of a coupling coefficient and time delay are studied.