10 citations · 11 across the 7 of their papers we have counts for
11 papers · 1 filter
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…
Dynamics in a time-discrete food-chain model with strong pressure on preys
Lluís Alsedà, José Tomás Lázaro, Ricard Solé +2
Ecological systems are complex dynamical systems. Modelling efforts on ecosystems' dynamical stability have revealed that population dynamics, being highly nonlinear, can be govern…
Periodic orbits of large diameter for circle maps
Lluís Alsedà, Sylvie Ruette
Let be a continuous circle map and let be a lifting of . In this note we study how the existence of a large orbit for affects its set of periods. More precisely, we…
Rotation sets for graph maps of degree 1
Lluís Alsedà, Sylvie Ruette
For a continuous map on a topological graph containing a loop it is possible to define the degree (with respect to the loop ) and, for a map of degree , rotation numbers.…