Sincronizacão em Rede Sem Escala

Abstract

We considered a coupled chaotic logistic map lattice exhibiting the scale free property: the outreach connectivity of each node obeys a power-law distribution. We analyzed a weak form of coherent spatio-temporal behavior, the direction coherent, wich presents features common to completely synchronized states, like a transitional behavior mediated through intermitent behavior. We studied such phenomena and their depndence on the parameters of the coupled scale free lattice. Of the recent experimental evidence that the neural network in some areas of the brain cortex presents scale free property, i.e. the neuron connectivity is distributed according to a power-law such the more connected neurons are most likely to couple with other well-connected ones, a coherent output of neurons in such assemblies can by described through a chaotic phase synchronization of their bursting activity. We used a twodimensional map proposed by Rulkov to describe neurons with spiking-bursting in a scale free network and investigate their chaotic phase ynchronization, in particular its dependence on the coupling properties.