• openAccess   Achievable connectivities of Fatou components for a family of singular perturbations 

      Canela, Jordi; Jarque, Xavier; Paraschiv, Dan American Institute of Mathematical Sciences (2022-09)
      In this paper we study the connectivity of Fatou components for maps in a large family of singular perturbations. We prove that, for some parameters inside the family, the dynamical planes for the corresponding maps ...
    • openAccess   Dynamical mechanism behind ghosts unveiled in a map complexification 

      Canela, Jordi; Alsedà i Soler, Lluís; Fagella, Núria; Sardanes, JOSEP Elsevier (2022-01-14)
      Complex systems such as ecosystems, electronic circuits, lasers, or chemical reactions can be modelled by dynamical systems which typically experience bifurcations. It is known that transients become extremely long close ...