Estructuras jer arquicas inducidas por est mulo externo en redes din amicas coevolutivas Hierarchical structures induced by external input in coevolving dynamical networks

We investigate a coevolving network of coupled maps subject to a forcing as a simple model for an adaptive system of system of neurons recibing an external estimulus. Coevolution means that the dynamics of the maps modies the connectivity structure of the underlying network, and that this structure in turn aects the dynamics, both varying in time. The local dynamics is chaotic and described by the circle map. The inuence of the intensity of the esternal stimulus on the dynamical collective behavior and the topological properties of the network are studied. It is shown that there are ranges of the intensity of the stimulus for which hierarchical structures arise in the network. In addition, it is found that the stimulus induces more structure when the states of the maps are less synchronized. Our work illustrates the potential of coupled map models for studying coevolution in complex systems.