T. Krisztin

collaborators

3 papers

math.DS2025

Connecting orbits for delay differential equations with unimodal feedback

GÃ¡bor 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…

math.DS2025

Morse decomposition of scalar differential equations with state-dependent delay

Ferenc A. Bartha, Ãbel Garab, Tibor Krisztin

We consider state-dependent delay differential equations of the form $x ˙ (t) = f (x (t), x (t - r (x_{t}))),$ where $f$ is continuously differentiable and fulfills a negative feedb…

math.DS2024

Stable periodic orbits for delay differential equations with unimodal feedback

GÃ¡bor Benedek, Tibor Krisztin, Robert Szczelina

We consider delay differential equations of the form $y^{'} (t) = - a y (t) + b f (y (t - 1))$ with positive parameters $a, b$ and a unimodal $f : [0, \infty) \to [0, 1]$ . It is assumed that the nonli…