11 citations · 11 across the 2 of their papers we have counts for
3 papers
math.DS2021★ 11 cited
Combinatorial vs. classical dynamics: Recurrence
Marian Mrozek, Roman Srzednicki, Justin Thorpe +1
Establishing the existence of periodic orbits is one of the crucial and most intricate topics in the study of dynamical systems, and over the years, many methods have been develope…
math.DS2021
On determining the homological Conley index of Poincaré maps in autonomous systems
Roman Srzednicki
A theorem on computation of the homological Conley index of an isolated invariant set of the Poincaré map associated to a section in a rotating local dynamical system is proved…
math.DS2017
On periodic solutions in the Whitney's inverted pendulum problem
Roman Srzednicki
In the book `What is Mathematics?' Richard Courant and Herbert Robbins presented a solution of a Whitney's problem of an inverted pendulum on a railway carriage moving on a straigh…