1 citations · 1 across the 4 of their papers we have counts for
4 papers
Set-Oriented Approach to the Analysis of Chaotic Itinerancy
Wojciech Jaworek, Paweł Pilarczyk
Chaotic itinerancy (CI), brought to attention, among others, by K. Ikeda, I. Tsuda and K. Kaneko in the early 1990s, is a phenomenon in which trajectories in a dynamical system exp…
Topological-numerical analysis of global dynamics in the discrete-time two-gene Andrecut-Kauffman model
Dorian Falęcki, Mikołaj Rosman, Michał Palczewski +2
We conduct a topological--numerical analysis of global dynamics in a discrete-time two-gene Andrecut--Kauffman model. This model describes gene expression regulation through nonlin…
Rigorous computation of expansion in one-dimensional dynamics
Paweł Pilarczyk, Michał Palczewski, Stefano Luzzatto
We introduce an effective algorithmic method for the computation of a lower bound for uniform expansion in one-dimensional dynamics. The approach employs interval arithmetic and th…
Bistability and chaos in the discrete two-gene Andrecut-Kauffman model
Mikołaj Rosman, Michał Palczewski, Paweł Pilarczyk +1
We conduct numerical analysis of the 2-dimensional discrete-time gene expression model originally introduced by Andrecut and Kauffman (Phys. Lett. A 367: 281-287, 2007). In contras…