3 citations · 5 across the 5 of their papers we have counts for
6 papers
An expansion for the number of partitions of an integer
Stella Brassesco, Arnaud Meyroneinc
We obtain an asymptotic expansion for , the number of partitions of a natural number , starting from a formula that relates its generating function with…
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…
Autonomous choices among deterministic evolution-laws as source of uncertainty
L. Trujillo, A. Meyroneinc, K. Campos +2
We provide evidence of an extreme form of sensitivity to initial conditions in a family of one-dimensional self-ruling dynamical systems. We prove that some hyperchaotic sequences…
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…
Open Regulatory Networks and Modularity
Ricardo Lima, Arnaud Meyroneinc, Edgardo Ugalde
We study the dynamical properties of small regulatory networks treated as non autonomous dynamical systems called modules when working inside larger networks or, equivalently when…
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…