Title
Analyzing stability of equilibrium points in neural networks: a general approach
Abstract
Networks of coupled neural systems represent an important class of models in computational neuroscience. In some applications it is required that equilibrium points in these networks remain stable under parameter variations. Here we present a general methodology to yield explicit constraints on the coupling strengths to ensure the stability of the equilibrium point. Two models of coupled excitatory-inhibitory oscillators are used to illustrate the approach.
Year
DOI
Venue
2003
10.1016/S0893-6080(03)00136-9
Neural Networks
Keywords
Field
DocType
computational neuroscience,equilibrium point,neural networks,neural network,mathematics,oscillations
Stability criterion,Computational neuroscience,Oscillation,Mathematical optimization,Coupling,Equilibrium point,Canonical form,Neural system,Artificial neural network,Mathematics
Journal
Volume
Issue
ISSN
16
10
Neural Networks, vol. 16, 1453-1460 (2003)
Citations 
PageRank 
References 
2
0.42
12
Authors
4
Name
Order
Citations
PageRank
wilson truccolo123735.90
Govindan Rangarajan211111.23
Yonghong Chen320.42
Mingzhou Ding4701114.88