26 citations · 41 across the 4 of their papers we have counts for
5 papers
Rotation number values at a discontinuity
Ricardo Coutinho
In the space of orientation-preserving circle maps that are not necessarily surjective nor injective, the rotation number does not vary continuously. Each map where one of these di…
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…
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…
On the computation of quantum characteristic exponents
R. Vilela Mendes, Ricardo Coutinho
A quantum characteristic exponent may be defined, with the same operational meaning as the classical Lyapunov exponent when the latter is expressed as a functional of densities. Ex…
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…