Asymptotic behavior of irreducible excitatory networks of analog graded-response neurons

Authors
Pakdaman, K Malta, CP Grotta-Ragazzo, C
Citation
K. Pakdaman et al., Asymptotic behavior of irreducible excitatory networks of analog graded-response neurons, IEEE NEURAL, 10(6), 1999, pp. 1375-1381
Citations number
23
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
IEEE TRANSACTIONS ON NEURAL NETWORKS
ISSN journal
10459227 → ACNP
Volume
10
Issue
6
Year of publication
1999
Pages
1375 - 1381
Database
ISI
SICI code
1045-9227(199911)10:6<1375:ABOIEN>2.0.ZU;2-V
Abstract
In irreducible excitatory networks of analog graded-response neurons, the t rajectories of most solutions tend to the equilibria, We derive sufficient conditions for such networks to be globally asymptotically stable. When the network possesses several locally stable equilibria, their location in the phase space is discussed and a description of their attraction basin is gi ven. The results hold even when interunit transmission is delayed.