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• W2023723894 abstract "A bifurcation analysis of a simplified model for excitatory and inhibitory dynamics is presented. Excitatory cells are endowed with a slow negative feedback and inhibitory cells are assumed to act instantly. This results in a generalization of the Hansel--Sompolinsky model for orientation selectivity. Normal forms are computed for the Turing--Hopf instability, where a new class of solutions is found. The transition from stationary patterns to traveling waves is analyzed by deriving the normal form for a Takens--Bogdanov bifurcation. Comparisons between the normal forms and numerical solutions of the full model are presented." @default.
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• W2023723894 date "2004-01-01" @default.
• W2023723894 modified "2023-09-24" @default.
• W2023723894 title "Pattern Formation in a Network of Excitatory and Inhibitory Cells with Adaptation" @default.
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• W2023723894 doi "https://doi.org/10.1137/030600503" @default.
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