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• W2282093328 abstract "We give a constructive method for realizing an arbitrary directed graph (with no one-cycles) as a heteroclinic or an excitable dynamic network in the phase space of a system of coupled cells of two types. In each case, the system is expressed as a system of first order differential equations. One of the cell types (the $p$-cells) interacts by mutual inhibition and classifies which vertex (state) we are currently close to, while the other cell type (the $y$-cells) excites the $p$-cells selectively and becomes active only when there is a transition between vertices. We exhibit open sets of parameter values such that these dynamical networks exist and demonstrate via numerical simulation that they can be attractors for suitably chosen parameters." @default.
• W2282093328 created "2016-06-24" @default.
• W2282093328 creator A5050499706 @default.
• W2282093328 creator A5052909191 @default.
• W2282093328 date "2015-10-24" @default.
• W2282093328 modified "2023-10-18" @default.
• W2282093328 title "Designing Heteroclinic and Excitable Networks in Phase Space Using Two Populations of Coupled Cells" @default.
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• W2282093328 doi "https://doi.org/10.1007/s00332-015-9277-2" @default.
• W2282093328 hasPublicationYear "2015" @default.
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