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- W2898839078 abstract "Neural Field Equations model the large scale behaviour of large groups of neurons. In this context gap junctions, electrical connections between neurons, are modelled by adding diffusion to the neural field. In this work we study the role of diffusion next to the usual connectivity with transmission delay. We extend known sun-star calculus results for delay equations to be able to include diffusion. Consequently, we are able to compute the spectral properties and normal form coefficients on the center manifold for Hopf and Pitchfork-Hopf bifurcations. By examining a numerical example, we find that the addition of diffusion suppresses spatial modes, while leaving temporal modes unaffected." @default.
- W2898839078 created "2018-11-09" @default.
- W2898839078 creator A5086387478 @default.
- W2898839078 date "2018-01-01" @default.
- W2898839078 modified "2023-09-23" @default.
- W2898839078 title "Bifurcations in neural field models with transmissiondelays and diffusion" @default.
- W2898839078 hasPublicationYear "2018" @default.
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