Breathing Pulses in an Excitatory Neural Network
From MaRDI portal
Publication:4653123
DOI10.1137/030602629zbMath1058.92010OpenAlexW2121319723MaRDI QIDQ4653123
Paul C. Bressloff, Stefanos E. Folias
Publication date: 28 February 2005
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1137/030602629
Related Items (50)
Multi-bump solutions in a neural field model with external inputs ⋮ Velocity Integration in a Multilayer Neural Field Model of Spatial Working Memory ⋮ Bump Attractors and Waves in Networks of Leaky Integrate-and-Fire Neurons ⋮ Frequency mode excitations in two-dimensional Hindmarsh-Rose neural networks ⋮ Wave fronts in inhomogeneous neural field models ⋮ Waves, bumps, and patterns in neural field theories ⋮ Spontaneous symmetry breaking in self-organizing neural fields ⋮ Distinct Excitatory and Inhibitory Bump Wandering in a Stochastic Neural Field ⋮ Single bumps in a 2-population homogenized neuronal network model ⋮ Ghosts of bump attractors in stochastic neural fields: bottlenecks and extinction ⋮ Dynamical Synapses Enhance Neural Information Processing: Gracefulness, Accuracy, and Mobility ⋮ Spatiotemporal pattern formation in two-dimensional neural circuits: roles of refractoriness and noise ⋮ Turing instability and pattern formation in a two-population neuronal network model ⋮ Scalar Reduction of a Neural Field Model with Spike Frequency Adaptation ⋮ Bifurcations and Dynamics in Modified Two Population Neuronal Network Models ⋮ Macroscopic coherent structures in a stochastic neural network: from interface dynamics to coarse-grained bifurcation analysis ⋮ Target patterns in a 2D array of oscillators with nonlocal coupling ⋮ Multiscale Motion and Deformation of Bumps in Stochastic Neural Fields with Dynamic Connectivity ⋮ Analysis of a hyperbolic geometric model for visual texture perception ⋮ Two-dimensional Amari neural field model with periodic microstructure: rotationally symmetric bump solutions ⋮ Localized states in an unbounded neural field equation with smooth firing rate function: a multi-parameter analysis ⋮ Encoding certainty in bump attractors ⋮ Formation and Regulation of Dynamic Patterns in Two-Dimensional Spiking Neural Circuits with Spike-Timing-Dependent Plasticity ⋮ Numerical bifurcation theory for high-dimensional neural models ⋮ Generation and annihilation of localized persistent-activity states in a two-population neural-field model ⋮ Numerical solution of the neural field equation in the presence of random disturbance ⋮ Stability of bumps in a two-population neural-field model with quasi-power temporal kernels ⋮ A Moving Bump in a Continuous Manifold: A Comprehensive Study of the Tracking Dynamics of Continuous Attractor Neural Networks ⋮ Traveling Bumps and Their Collisions in a Two-Dimensional Neural Field ⋮ ``Two vs one rivalry by the Loxley-Robinson model ⋮ Interface dynamics in planar neural field models ⋮ Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network ⋮ Influence of sodium currents on speeds of traveling wave fronts in synaptically coupled neuronal networks ⋮ Stability of bumps in piecewise smooth neural fields with nonlinear adaptation ⋮ Inhomogeneity-induced bifurcation of stationary and oscillatory pulses ⋮ Threshold of Front Propagation in Neural Fields: An Interface Dynamics Approach ⋮ Wave Phenomena in Neuronal Networks ⋮ Stabilization of pulse waves through inhibition in a feedforward neural network ⋮ Unnamed Item ⋮ Tutorial on Neural Field Theory ⋮ Heaviside World: Excitation and Self-Organization of Neural Fields ⋮ Spatiotemporal Pattern Formation in Neural Fields with Linear Adaptation ⋮ PDE Methods for Two-Dimensional Neural Fields ⋮ Spots: Breathing, Drifting and Scattering in a Neural Field Model ⋮ Heterogeneous Connectivity in Neural Fields: A Stochastic Approach ⋮ Localized activity patterns in two-population neuronal networks ⋮ Nonlinear Langevin Equations for Wandering Patterns in Stochastic Neural Fields ⋮ Stochastic Motion of Bumps in Planar Neural Fields ⋮ Wandering bumps in a stochastic neural field: a variational approach ⋮ Stochastic neural field equations: a rigorous footing
This page was built for publication: Breathing Pulses in an Excitatory Neural Network