Dynamics of a state-dependent delay-differential equation

We present a detailed study of a scalar differential equation with threshold state-dependent delayed feedback. This equation arises as a simplification of a gene regulatory model. There are two monotone nonlinearities in the model: one describes the dependence of delay on state, and the other is the...

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Autori principali: Tomas Gedeon, Antony Humphries, Michael Mackey, Hans-Otto Walther, Zhao Wang
Natura: Artigo
Lingua:Inglês
Pubblicazione: University of Szeged 2025-08-01
Serie:Electronic Journal of Qualitative Theory of Differential Equations
Soggetti:
state dependent delay
threshold delay
negative feedback
positive feedback
bifurcation (bautin
bogdanov–takens
cusp
fold
homoclinic
hopf)
Accesso online:http://www.math.u-szeged.hu/ejqtde/periodica.html?periodica=1&paramtipus_ertek=publication&param_ertek=11333
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