3 papers
nlin.CD2025
Analysis of the Chaotic Itinerancy Phenomenon using Entropy and Clustering
Nikodem Mierski, Paweł Pilarczyk
We introduce a new methodology for the analysis of the phenomenon of chaotic itinerancy in a dynamical system using the notion of entropy and a clustering algorithm. We determine s…
math.DS2021
Rigorous computation of escape times for parameter intervals in the quadratic map
Paweł Pilarczyk, Stefano Luzzatto
We study the quadratic family of one-dimensional maps . We conduct comprehensive numerical analysis of collections of finite orbits of the critical point, comput…
math.DS2020
Rigorous numerics for critical orbits in the quadratic family
Ali Golmakani, Comlan Edmond Koudjinan, Stefano Luzzatto +1
We develop algorithms and techniques to compute rigorous bounds for finite pieces of orbits of the critical points, for intervals of parameter values, in the quadratic family of on…