Traveling waves of some integral-differential equations arising from neuronal networks with oscillatory kernels
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Publication:984766
DOI10.1016/J.JMAA.2010.04.011zbMath1194.35095OpenAlexW1975925578MaRDI QIDQ984766
Publication date: 20 July 2010
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.04.011
Neural networks for/in biological studies, artificial life and related topics (92B20) Traveling wave solutions (35C07) Positive solutions to PDEs (35B09)
Related Items (6)
Traveling wave solutions to a neural field model with oscillatory synaptic coupling types ⋮ Existence and uniqueness of wave fronts in neuronal network with nonlocal post-synaptic axonal and delayed nonlocal feedback connections ⋮ Convolution representation of traveling pulses in reaction-diffusion systems ⋮ Existence of wave front solutions of an integral differential equation in nonlinear nonlocal neuronal network ⋮ Travelling wave solutions of integro-differential equations of one-dimensional neuronal networks ⋮ Existence and Uniqueness of Traveling Fronts in Lateral Inhibition Neural Fields with Sigmoidal Firing Rates
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- Pattern Formation in a Network of Excitatory and Inhibitory Cells with Adaptation
- How Do Synaptic Coupling and Spatial Temporal Delay Influence Traveling Waves in Nonlinear Nonlocal Neuronal Networks?
- Existence and Stability of Standing Pulses in Neural Networks: I. Existence
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