8 papers
A note on the definition of good special flows of Kanigowski and Ravotti
Przemysław Kucharski
In this short note we show that certain definition from the work of Kanigowski and Ravotti can be relaxed. More specifically, we show that the definition of good special flows, tha…
Maximal attractors for perturbations of unimodal maps near a homoclinic tangency
Przemysław Kucharski
We show that small planar perturbations of families of unimodal maps have maximal (equal to the intersection of the iterates of their trapping region) attractors at parameters near…
Translation algorithms for graph covers
Jan Boroński, Henk Bruin, Przemysław Kucharski
Graph covers are a way to describe continuous maps (and homeomorphisms) of a Cantor set, more generally than e.g.\ Bratteli-Vershik systems. Every continuous map on a zero-dimensio…
Strange attractors for the generalized Lozi-like family
Przemysław Kucharski
We generalize the Lozi-like family introduced in Misiurewicz and Štimac work from 2017. The generalized Lozi-like family encompasses in particular certain Lozi-like maps, orientati…
Strange attractors for the family of orientation preserving Lozi maps
Przemysław Kucharski
We extend the result of Michal Misiurewicz assuring the existence of strange attractors for the parametrized family of orientation reversing Lozi maps to the orient…
On Cartwright-Littlewood Fixed Point Theorem
Przemysław Kucharski
We prove the following generalization of the Cartwright-Littlewood fixed point theorem. Suppose is an orientation preserving planar ho…