Mathematical analysis of a neural network with inhibitory coupling

DOI10.1016/0304-4149(92)90140-LzbMath0749.92003OpenAlexW2068910255MaRDI QIDQ1185787

Marie Cottrell

Publication date: 28 June 1992

Published in: Stochastic Processes and their Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0304-4149(92)90140-l

zbMATH Keywords

neural networkergodiccerebellar cortexpositiveinhibitory effectrecurrenttwo-dimensional latticefiring thresholdstimuliinhibitory synapsesaperiodic, irreducible Markov processexternal inputsinhibitory couplingmean interspike intervalnearest-neighbours-connected neural modelreset value

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20) Circuits, networks (94C99)

Related Items (8)

Dynamic sizing of multilayer perceptrons ⋮ An interacting neuronal network with inhibition: theoretical analysis and perfect simulation ⋮ Exponential rate of convergence of an infinite neuron model with local connections ⋮ Results on a binding neuron model and their implications for modified hourglass model for neuronal network ⋮ A Markovian event-based framework for stochastic spiking neural networks ⋮ Metastability for systems of interacting neurons ⋮ Stochastic stability of a system of perfect integrate-and-fire inhibitory neurons ⋮ Synchronization of firing times in a stochastic neural network model with excitatory connections

Cites Work

• Self-organization and associative memory
• Habituation rules for a theory of the cerebellar cortex
• A stochastic model of retinotopy: A self organizing process
• Étude d'un processus d'auto-organisation. (Study of a self-organization process)
• Stability and attractivity in associative memory networks
• Dynamics of pattern formation in lateral-inhibition type neural fields
• General Irreducible Markov Chains and Non-Negative Operators
• A logical calculus of the ideas immanent in nervous activity
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