26 citations · 38 across the 3 of their papers we have counts for
3 papers
math.DS2005
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…
patt-sol1998★ 12 cited
Fronts and interfaces in bistable extended mappings
R. Coutinho, B. Fernandez
We study the interfaces' time evolution in one-dimensional bistable extended dynamical systems with discrete time. The dynamics is governed by the competition between a local piece…
patt-sol1996★ 26 cited
Extended Symbolic Dynamics in Bistable CML: Existence and Stability of Fronts
R. Coutinho, B. Fernandez
We consider a diffusive Coupled Map Lattice (CML) for which the local map is piece-wise affine and has two stable fixed points. By introducing a spatio-temporal coding, we prove th…