3 papers
math.DS2026
Topological-numerical analysis of global dynamics in the discrete-time two-gene Andrecut-Kauffman model
Dorian FalÄcki, Dorian Falęcki, MikoÅaj Rosman +7
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…
math.DS2026
Rigorous computation of expansion in one-dimensional dynamics
PaweÅ Pilarczyk, MichaÅ 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…
nlin.CD2025
Bistability and chaos in the discrete two-gene Andrecut-Kauffman model
MikoÅaj Rosman, MichaÅ Palczewski, PaweÅ 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…