A model for neuronal oscillations in the visual cortex. I: Mean-field theory and derivation of the phase equations
From MaRDI portal
Publication:922386
DOI10.1007/BF00203633zbMath0709.92012OpenAlexW2329559012WikidataQ52505140 ScholiaQ52505140MaRDI QIDQ922386
Publication date: 1990
Published in: Biological Cybernetics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf00203633
Related Items
Alternating oscillatory and stochastic dynamics in a model for a neuronal assembly, A model for feature linking via collective oscillations in the primary visual cortex, Synchronization of neural activity is a promising mechanism of memory information processing in networks of columns, EXACT SOLUTIONS AND MONTE CARLO SIMULATIONS OF SELF-CONSISTENT LANGEVIN EQUATIONS: A CASE STUDY FOR THE COLLECTIVE DYNAMICS OF STOCK PRICES, Stability analysis of stationary states of mean field models described by Fokker-Planck equations, A nonlinear dynamics model for simulating long range correlations of cognitive bistability, An associative memory that can form hypotheses: A phase-coded neural network, Dynamics and bifurcations of two coupled neural oscillators with different connection types, Synchronized oscillations in the visual cortex -- a synergetic model, Delay-induced oscillations in Wilson and Cowan's model: an analysis of the subthalamo-pallidal feedback loop in healthy and parkinsonian subjects, Stochastic synchronization of neuronal populations with intrinsic and extrinsic noise, The effect of network structure on desynchronization dynamics, Symmetry axiom of Haken-Kelso-Bunz coordination dynamics revisited in the context of cognitive activity, Globally coupled maps with sequential updating, One-dimensional approximation to stochastic lattice system with strong coupling, Bifurcation analysis of a neural network model, Universality in neural networks: The importance of the mean firing rate, Orientation Tuning Properties of Simple Cells in Area V1 Derived from an Approximate Analysis of Nonlinear Neural Field Models, A biologically motivated and analytically soluble model of collective oscillations in the cortex. I. Theory of weak locking, Synchronized patterns in hierarchical networks of neuronal oscillators with \({\mathbb{D}}_3\times{\mathbb{D}}_3\) symmetry, Dynamical cell assembly hypothesis -- Theoretical possibility of spatio-temporal coding in the cortex, Towards a comprehensive theory of brain activity: Coupled oscillator systems under external forces, Structural characterization of oscillations in brain networks with rate dynamics, Emergent dynamics in a network of recurrently coupled neurons, Dynamic Approximation of Spatiotemporal Receptive Fields in Nonlinear Neural Field Models, A model of cortical memory processing based on columnar organization
Cites Work
- Unnamed Item
- Unnamed Item
- Chemical oscillations, waves, and turbulence
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- A cognitive and associative memory
- Bifurcation formulae derived from center manifold theory
- Neurons with graded response have collective computational properties like those of two-state neurons.