3 papers
math.DS2026
Delayed Pattern Formation in Two-Dimensional Domains
Nirmali Prabha Das, István Balázs, Bornali Das +1
This study investigates how the interaction between gene expression time delay and domain size governs spatio-temporal pattern formation in a reaction-diffusion system. To investig…
math.DS2025
Morse decomposition for semi-dynamical systems with an application to systems of state-dependent delay differential equations
István Balázs, Ãbel Garab, Teresa Rauscher
Understanding the structure of the global attractor is crucial in the field of dynamical systems, where Morse decompositions provide a powerful tool by partitioning the attractor i…
math.DS2025
Discrete Lyapunov functional for cyclic systems of differential equations with time-variable or state-dependent delay
István Balázs, Ãbel Garab
We consider nonautonomous cyclic systems of delay differential equations with variable delay. Under suitable feedback assumptions, we define an (integer valued) Lyapunov functional…