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Existence and uniqueness of wave fronts in neuronal network with nonlocal post-synaptic axonal connections and delayed nonlocal feedback connections

An integral-di erential model equation arising from neuronal net-works with both axonal connections and delayed non-local feedback connections is considered in this paper. The kernel functions in the feedback channel we study here include not only pure excitations but also lateral inhibition, and for the kernel functions in the synaptic coupling, pure excitations, lateral inhibition, the lateral excitations and more general synaptic couplings (e.g.oscillating kernel functions) are considered. The main goal of this paper is the existence and the uniqueness of the traveling wave front solutions. The main method we applied is the speed index functions and principle of linear superposition.



Real Time Impact Factor: 2.66667

Author Name: Lijun Zhang

URL: View PDF

Keywords: 16871847

ISSN: 16871847

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