Homogeneous nets of neuron-like elements
From MaRDI portal
Publication:1216371
DOI10.1007/BF00339367zbMath0302.92004OpenAlexW2063582946WikidataQ66921528 ScholiaQ66921528MaRDI QIDQ1216371
Publication date: 1975
Published in: Biological Cybernetics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00339367
Related Items
Absolute stability and synchronization in neural field models with transmission delays ⋮ Pattern formation in a 2-population homogenized neuronal network model ⋮ Wave fronts in inhomogeneous neural field models ⋮ Waves, bumps, and patterns in neural field theories ⋮ Pitchfork-Hopf bifurcations in 1D neural field models with transmission delays ⋮ Macroscopic coherent structures in a stochastic neural network: from interface dynamics to coarse-grained bifurcation analysis ⋮ Periodic behavior of one-dimensional uniform threshold circuits ⋮ Evolution of neuron firing and connectivity in neuronal plasticity with application to Parkinson's disease ⋮ Absolute Stability and Synchronization in Second-Order Neural Fields with Conduction Delays ⋮ Autoregressive Point Processes as Latent State-Space Models: A Moment-Closure Approach to Fluctuations and Autocorrelations ⋮ On the properties of nonlinear nonlocal operators arising in neural field models ⋮ Neural population modes capture biologically realistic large scale network dynamics ⋮ Iterative schemes for bump solutions in a neural field model ⋮ Dynamics about neural array with simple lateral inhibitory connections ⋮ Systematic Fluctuation Expansion for Neural Network Activity Equations ⋮ The dynamics of neural fields on bounded domains: an interface approach for Dirichlet boundary conditions ⋮ A rate-reduced neuron model for complex spiking behavior ⋮ Neural theory of association and concept-formation ⋮ Dynamics of pattern formation in lateral-inhibition type neural fields ⋮ Replica-Mean-Field Limits for Intensity-Based Neural Networks ⋮ Pattern association and retrieval in a continuous neural system ⋮ Mathematical studies of the dynamics of finite-size binary neural networks: a review of recent progress ⋮ Existence and stability of local excitations in homogeneous neural fields ⋮ The Pair-Replica-Mean-Field Limit for Intensity-based Neural Networks ⋮ Tutorial on Neural Field Theory ⋮ Heterogeneous Connectivity in Neural Fields: A Stochastic Approach ⋮ Neural Field Modelling of the Electroencephalogram: Physiological Insights and Practical Applications ⋮ Snakes and ladders in an inhomogeneous neural field model
Cites Work
- Unnamed Item
- Unnamed Item
- Homogeneous logic networks and their automorphism groups
- A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue
- A field theory of neural nets: I: Derivation of field equations
- A field theory of neural nets: II. Properties of the field equations
- Tessellation Automata
- On the Topological Properties of Quantized Spaces, I. The Notion of Dimension
- Structural and behavioral equivalences of tessellation automata
- Analysis and simulation of networks of mutually inhibiting neurons
- Learning Patterns and Pattern Sequences by Self-Organizing Nets of Threshold Elements
- Characteristics of Random Nets of Analog Neuron-Like Elements
