3 citations · 5 across the 5 of their papers we have counts for
3 papers · 1 filter
Complexity of injective piecewise contracting interval maps
Eleneora Catsigeras, Pierre Guiraud, Arnaud Meyroneinc
We study the complexity of the itineraries of injective piecewise contracting maps on the interval. We prove that for any such map the complexity function of any itinerary is event…
On the Asymptotic Properties of Piecewise Contracting Maps
E. Catsigeras, P. Guiraud, A. Meyroneinc +1
We study the asymptotic dynamics of maps which are piecewise contracting on a compact space. These maps are Lipschitz continuous, with Lipschitz constant smaller than one, when res…
Discrete time piecewise affine models of genetic regulatory networks
Ricardo Coutinho, Bastien Fernandez, Ricardo Lima +1
We introduce simple models of genetic regulatory networks and we proceed to the mathematical analysis of their dynamics. The models are discrete time dynamical systems generated by…