10 citations · 18 across the 17 of their papers we have counts for
21 papers
Mersenne numbers and the doubling map
Lluís Alsedà, Antonio Garijo, Xavier Jarque
We study the connection between the Mersenne numbers and the dynamics of the angle-doubling map. Within this framework, we develop an algorithm to compute divisors o…
Entropy stability and Milnor-Thurston invariants for Bowen-Series-like maps
Ll. Alsedà, D. Juher, J. Los +1
We define a family of discontinuous maps on the circle, called Bowen-Series-like maps, for geometric presentations of surface groups. The family has parameters, where is…
Dynamical mechanism behind ghosts unveiled in a map complexification
Jordi Canela, Lluís Alsedà, Núria Fagella +1
Complex systems such as ecosystems, electronic circuits, lasers or chemical reactions can be modelled by dynamical systems which typically experience bifurcations. Transients typic…
An Algorithm to compute Rotation Numbers in the circle
Lluís Alsedà, Salvador Borrós-Cullell
In this article we present an efficient algorithm to compute rotation intervals of circle maps of degree one. It is based on the computation of the rotation number of a monotone ci…
Flexibility of entropies for piecewise expanding unimodal maps
Lluís Alsedà, Michał Misiurewicz, Rodrigo A. Pérez
We investigate the flexibility of the entropy (topological and metric) for the class of piecewise expanding unimodal maps. We show that the only restrictions for the values of the…
Host-virus evolutionary dynamics with specialist and generalist infection strategies: bifurcations, bistability and chaos
Anel Nurtay, Matthew G. Hennessy, Lluís Alsedà +2
In this work we have investigated the evolutionary dynamics of a generalist pathogen, e.g. a virus population, that evolves towards specialisation in an environment with multiple h…