Generation and annihilation of localized persistent-activity states in a two-population neural-field model

DOI10.1016/j.neunet.2013.04.012zbMath1296.92088OpenAlexW1990330084WikidataQ43638305 ScholiaQ43638305MaRDI QIDQ461135

J. Herrera, D. Rodríguez-Gómez

Publication date: 10 October 2014

Published in: Neural Networks (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.neunet.2013.04.012

zbMATH Keywords

integro-differential equationsbumpscortexworking memorypersistent statestwo-population neuronal networks

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Neural biology (92C20) Neural networks for/in biological studies, artificial life and related topics (92B20)

Cites Work

• Stability of bumps in a two-population neural-field model with quasi-power temporal kernels
• Turing instability and pattern formation in a two-population neuronal network 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
• Dynamics of pattern formation in lateral-inhibition type neural fields
• Existence and stability of local excitations in homogeneous neural fields
• A model of visuospatial working memory in prefrontal cortex: Recurrent network and cellular bistability
• Circular stationary solutions in two-dimensional neural fields
• Effect of localized input on bump solutions in a two-population neural-field model
• Waves, bumps, and patterns in neural field theories
• Localized activity patterns in two-population neuronal networks
• Stationary Bumps in Networks of Spiking Neurons
• Spatially Structured Activity in Synaptically Coupled Neuronal Networks: II. Lateral Inhibition and Standing Pulses
• Multiple Bumps in a Neuronal Model of Working Memory
• The High-Conductance State of Cortical Networks
• Existence and properties of solutions for neural field equations
• Existence and uniqueness of travelling waves for a neural network
• Nonlinear Coupling near a Degenerate Hopf (Bautin) Bifurcation
• Breathing Pulses in an Excitatory Neural Network
• A mathematical theory of the functional dynamics of cortical and thalamic nervous tissue
• Sustained Spatial Patterns of Activity in Neuronal Populations without Recurrent Excitation
• Dynamics of Feature Categorization
• Design of Continuous Attractor Networks with Monotonic Tuning Using a Symmetry Principle
• Existence and Stability of Standing Pulses in Neural Networks: II. Stability

This page was built for publication: Generation and annihilation of localized persistent-activity states in a two-population neural-field model