Traveling Waves and Synchrony in an Excitable Large-Scale Neuronal Network with Asymmetric Connections

DOI10.1137/070709888zbMath1166.45006OpenAlexW2094507070MaRDI QIDQ3624484

William C. Troy

Publication date: 30 April 2009

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/7c1153d0a497b4b13420f8942791a87d2b562956

zbMATH Keywords

travelling wavesnumerical experimentsbifurcationsystem of integro-differential equationsoscillationsexcitable large-scale neuronal network

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Integro-partial differential equations (45K05) Neural networks for/in biological studies, artificial life and related topics (92B20) Systems of nonlinear integral equations (45G15)

Related Items (5)

Existence and nonexistence of traveling pulses in a lateral inhibition neural network ⋮ Asymmetry in neural fields: a spatiotemporal encoding mechanism ⋮ On the spectra of certain integro-differential-delay problems with applications in neurodynamics ⋮ Effects of synaptic depression and adaptation on spatiotemporal dynamics of an excitatory neuronal network ⋮ Spatiotemporal Pattern Formation in Neural Fields with Linear Adaptation

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