The Effect of Inhibitory Neurons on a Class of Neural Networks

DOI10.1007/978-3-030-46306-9_7zbMath1480.92016OpenAlexW3039812126MaRDI QIDQ5016691

Márton Neogrády-Kiss, Peter L. Simon

Publication date: 14 December 2021

Published in: Trends in Biomathematics: Modeling Cells, Flows, Epidemics, and the Environment (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-030-46306-9_7

zbMATH Keywords

stabilityoscillationHopfield modelstep activation function

Mathematics Subject Classification ID

Neural networks for/in biological studies, artificial life and related topics (92B20) Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations (34C10) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Cites Work

• Mathematical frameworks for oscillatory network dynamics in neuroscience
• Transitions between asynchronous and synchronous states: a theory of correlations in small neural circuits
• Parameter Space Structure of Continuous-Time Recurrent Neural Networks
• Neurons with graded response have collective computational properties like those of two-state neurons.

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