97 citations · 172 across the 10 of their papers we have counts for
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Global extinction, dissipativity and persistence for a certain class of differential equations with state-dependent delay
Philipp Getto, Gergely Röst
In this paper we study, at different levels of generality, certain systems of delay differential equations (DDE). One focus and motivation is a system with state-dependent delay (S…
Hopf bifurcation and period functions for Wright type delay differential equations
István Balázs, Gergely Röst
We present the simplest criterion that determines the direction of the Hopf bifurcations of the delay differential equation , as the parameter passes through…
Bifurcation of Periodic Delay Differential Equations at Points of 1:4 Resonance
Gergely Röst
The time-periodic scalar delay differential equation is considered, which leads to a resonant bifurcation of the equilibrium at critical values of the para…
Dichotomy results for delay differential equations with negative Schwarzian
Eduardo Liz, Gergely Röst
We gain further insight into the use of the Schwarzian derivative to obtain new results for a family of functional differential equations including the famous Wright's equation and…
On the Global Attractor of Delay Differential Equations with Unimodal Feedback
Eduardo Liz, Gergely Röst
We give bounds for the global attractor of the delay differential equation , where is unimodal and has negative Schwarzian derivative. If and s…