67 citations · 100 across the 7 of their papers we have counts for
7 papers
Connecting orbits for delay differential equations with unimodal feedback
Gábor Benedek, Tibor Krisztin
This paper considers a class of delay differential equations with unimodal feedback and describes the structure of certain unstable sets of stationary points and periodic orbits. T…
Morse decomposition of scalar differential equations with state-dependent delay
Ferenc A. Bartha, Ábel Garab, Tibor Krisztin
We consider state-dependent delay differential equations of the form where is continuously differentiable and fulfills a negative feedb…
Stable periodic orbits for delay differential equations with unimodal feedback
Gábor Benedek, Tibor Krisztin, Robert Szczelina
We consider delay differential equations of the form with positive parameters and a unimodal . It is assumed that the nonli…
Solution manifolds of differential systems with discrete state-dependent delays are almost graphs
Tibor Krisztin, Hans-Otto Walther
We show that for a system of differential equations with discrete state-dependent delays the solution manifold, on which…
Parabolic partial differential equations with discrete state-dependent delay: classical solutions and solution manifold
Tibor Krisztin, Alexander Rezounenko
Classical solutions to PDEs with discrete state-dependent delay are studied. We prove the well-posedness in a set which is an analogous to the solution manifold used for ordi…
The unstable set of a periodic orbit for delayed positive feedback
Tibor Krisztin, Gabriella Vas
In the paper [Large-amplitude periodic solutions for differential equations with delayed monotone positive feedback, JDDE 23 (2011), no. 4, 727--790], we have constructed large-amp…
Local stability implies global stability for the 2-dimensional Ricker map
Ferenc A. Bartha, Ábel Garab, Tibor Krisztin
Consider the difference equation where is a positive parameter and d is a non-negative integer. The case d = 0 was introduced by W.E. Ricker in 1954…