Neural fields with fast learning dynamic kernel

DOI10.1007/s00422-012-0475-9zbMath1237.92008OpenAlexW1973528249WikidataQ51407535 ScholiaQ51407535MaRDI QIDQ420940

J. Herrera, H. S. Yoon

Publication date: 23 May 2012

Published in: Biological Cybernetics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00422-012-0475-9

zbMATH Keywords

ExistenceStabilityBumpsTraveling waves

Mathematics Subject Classification ID

Probabilistic models, generic numerical methods in probability and statistics (65C20) Integro-partial differential equations (45K05) Neural biology (92C20)

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Cites Work

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• Neural fields with sigmoidal firing rates: Approximate solutions
• Exploiting the Hamiltonian structure of a neural field model
• Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network
• Stability of bumps in piecewise smooth neural fields with nonlinear adaptation
• Mathematical foundations of neuroscience
• Formation of topographic maps and columnar microstructures in nerve fields
• Dynamics of pattern formation in lateral-inhibition type neural fields
• Mathematical formulations of Hebbian learning
• Multiple Bumps in a Neuronal Model of Working Memory
• EVANS FUNCTIONS AND NONLINEAR STABILITY OF TRAVELING WAVES IN NEURONAL NETWORK MODELS
• Existence and Stability of Standing Pulses in Neural Networks: I. Existence
• Existence and Stability of Standing Pulses in Neural Networks: II. Stability