Hierarchical structure induced by external input in coevolving dynamical networks
Authors: V.J. Márquez, M.G. Cosenza, K. Tucci
Abstract
We investigate a coevolving network of coupled maps
subject to a forcing as a simple model for an
adaptive system of neurons receiving an external
stimulus. Coevolution means that the dynamics of the
maps modifies the connectivity structure of the
underlying network, and that this structure in turn
affects the dynamics, both varying in time. The
local dynamics is chaotic and described by the
circle map. The influence of the intensity of the
external 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
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