Slow waves in mutually inhibitory neuronal networks

DOI10.1016/j.physd.2004.01.001zbMath1055.92009OpenAlexW2091067548MaRDI QIDQ1888013

Jozsi Jalics

Publication date: 22 November 2004

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2004.01.001

zbMATH Keywords

Singular perturbationTraveling wavesThalamusSynaptic coupling

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) Singular perturbations in context of PDEs (35B25) Neural biology (92C20) Dynamical systems in biology (37N25) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Nonlinear first-order PDEs (35F20)

Related Items (1)

Slow waves in mutually inhibitory neuronal networks

Cites Work

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• Fast and slow waves in the FitzHugh-Nagumo equation
• Geometric singular perturbation theory for ordinary differential equations
• Almost-synchronous solutions for mutually coupled excitatory neurons
• Slow waves in mutually inhibitory neuronal networks
• Mechanisms for oscillation and frequency control in reciprocally inhibitory model neural networks
• Dynamics of two mutually coupled slow inhibitory neurons
• Propagating Activity Patterns in Thalamic Neuronal Networks
• Extending Geometric Singular Perturbation Theory to Nonhyperbolic Points---Fold and Canard Points in Two Dimensions
• Large stable pulse solutions in reaction-diffusion equations
• Spatially Structured Activity in Synaptically Coupled Neuronal Networks: I. Traveling Fronts and Pulses
• The Existence of Infinitely Many Traveling Front and Back Waves in the FitzHugh–Nagumo Equations

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