Matches in SemOpenAlex for { <https://semopenalex.org/work/W4288261606> ?p ?o ?g. }
Showing items 1 to 73 of
73
with 100 items per page.
- W4288261606 abstract "We consider the standard neural field equation with an exponential temporal kernel. We analyze the time-independent (static) and time-dependent (dynamic) bifurcations of the equilibrium solution and the emerging spatio-temporal wave patterns. We show that an exponential temporal kernel does not allow static bifurcations such as saddle-node, pitchfork, and in particular, static Turing bifurcations, in contrast to the Green's function used by Atay and Hutt (SIAM J. Appl. Math. 65: 644-666, 2004). However, the exponential temporal kernel possesses the important property that it takes into account the finite memory of past activities of neurons, which the Green's function does not. Through a dynamic bifurcation analysis, we give explicit Hopf (temporally non-constant, but spatially constant solutions) and Turing-Hopf (spatially and temporally non-constant solutions, in particular traveling waves) bifurcation conditions on the parameter space which consists of the coefficient of the exponential temporal kernel, the transmission speed of neural signals, the time delay rate of synapses, and the ratio of excitatory to inhibitory synaptic weights." @default.
- W4288261606 created "2022-07-28" @default.
- W4288261606 creator A5021689695 @default.
- W4288261606 creator A5051269646 @default.
- W4288261606 creator A5062207754 @default.
- W4288261606 creator A5072990982 @default.
- W4288261606 date "2019-08-17" @default.
- W4288261606 modified "2023-10-15" @default.
- W4288261606 title "Dynamics of neural fields with exponential temporal kernel" @default.
- W4288261606 doi "https://doi.org/10.48550/arxiv.1908.06324" @default.
- W4288261606 hasPublicationYear "2019" @default.
- W4288261606 type Work @default.
- W4288261606 citedByCount "0" @default.
- W4288261606 crossrefType "posted-content" @default.
- W4288261606 hasAuthorship W4288261606A5021689695 @default.
- W4288261606 hasAuthorship W4288261606A5051269646 @default.
- W4288261606 hasAuthorship W4288261606A5062207754 @default.
- W4288261606 hasAuthorship W4288261606A5072990982 @default.
- W4288261606 hasBestOaLocation W42882616061 @default.
- W4288261606 hasConcept C101225446 @default.
- W4288261606 hasConcept C121332964 @default.
- W4288261606 hasConcept C121864883 @default.
- W4288261606 hasConcept C134306372 @default.
- W4288261606 hasConcept C151376022 @default.
- W4288261606 hasConcept C155092403 @default.
- W4288261606 hasConcept C158622935 @default.
- W4288261606 hasConcept C172435161 @default.
- W4288261606 hasConcept C180188523 @default.
- W4288261606 hasConcept C199360897 @default.
- W4288261606 hasConcept C202444582 @default.
- W4288261606 hasConcept C2777027219 @default.
- W4288261606 hasConcept C2781349735 @default.
- W4288261606 hasConcept C28826006 @default.
- W4288261606 hasConcept C33923547 @default.
- W4288261606 hasConcept C41008148 @default.
- W4288261606 hasConcept C62520636 @default.
- W4288261606 hasConcept C74193536 @default.
- W4288261606 hasConcept C85384003 @default.
- W4288261606 hasConceptScore W4288261606C101225446 @default.
- W4288261606 hasConceptScore W4288261606C121332964 @default.
- W4288261606 hasConceptScore W4288261606C121864883 @default.
- W4288261606 hasConceptScore W4288261606C134306372 @default.
- W4288261606 hasConceptScore W4288261606C151376022 @default.
- W4288261606 hasConceptScore W4288261606C155092403 @default.
- W4288261606 hasConceptScore W4288261606C158622935 @default.
- W4288261606 hasConceptScore W4288261606C172435161 @default.
- W4288261606 hasConceptScore W4288261606C180188523 @default.
- W4288261606 hasConceptScore W4288261606C199360897 @default.
- W4288261606 hasConceptScore W4288261606C202444582 @default.
- W4288261606 hasConceptScore W4288261606C2777027219 @default.
- W4288261606 hasConceptScore W4288261606C2781349735 @default.
- W4288261606 hasConceptScore W4288261606C28826006 @default.
- W4288261606 hasConceptScore W4288261606C33923547 @default.
- W4288261606 hasConceptScore W4288261606C41008148 @default.
- W4288261606 hasConceptScore W4288261606C62520636 @default.
- W4288261606 hasConceptScore W4288261606C74193536 @default.
- W4288261606 hasConceptScore W4288261606C85384003 @default.
- W4288261606 hasLocation W42882616061 @default.
- W4288261606 hasOpenAccess W4288261606 @default.
- W4288261606 hasPrimaryLocation W42882616061 @default.
- W4288261606 hasRelatedWork W1979038599 @default.
- W4288261606 hasRelatedWork W2024878967 @default.
- W4288261606 hasRelatedWork W2063168848 @default.
- W4288261606 hasRelatedWork W2093031788 @default.
- W4288261606 hasRelatedWork W2114927237 @default.
- W4288261606 hasRelatedWork W2155641272 @default.
- W4288261606 hasRelatedWork W2387136662 @default.
- W4288261606 hasRelatedWork W2393929457 @default.
- W4288261606 hasRelatedWork W3127355691 @default.
- W4288261606 hasRelatedWork W4288261606 @default.
- W4288261606 isParatext "false" @default.
- W4288261606 isRetracted "false" @default.
- W4288261606 workType "article" @default.