23 citations · 26 across the 5 of their papers we have counts for
4 papers · 1 filter
Sharkovskii theorem for infinite dimensional dynamical systems
Anna Gierzkiewicz, Robert Szczelina
We present an adaptation of a relatively simple topological argument to show the existence of many periodic orbits in an infinite dimensional dynamical system, provided that the sy…
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…
High-order Lohner-type algorithm for rigorous computation of Poincaré maps in systems of Delay Differential Equations with several delays
Robert Szczelina, Piotr Zgliczyński
We present a Lohner-type algorithm for rigorous integration of systems of Delay Differential Equations (DDEs) with multiple delays and its application in computation of Poincaré ma…
Algorithm for rigorous integration of Delay Differential Equations and the computer-assisted proof of periodic orbits in the Mackey-Glass equation
Robert Szczelina, Piotr Zgliczyński
We present an algorithm for the rigorous integration of Delay Differential Equations (DDEs) of the form . As an application, we give a computer assisted proof…