The interplay between structural connectivity (SC) and neural dynamics is still not yet fully understood. Applying topological analysis, the connectome approach links this anatomical network to brain function. Here we adopt a computational approach to find topology features related to the stability on global neural dynamics. A previous study of a mean field model based on the human cortex network, shows at least 2 global neural states, with either a low or high firing rate pattern. These 2 possible states, or bistability, emerge in the model within a range of the global coupling parameter G, limited by critical values G- and G +.Instituto de Investigaciones en Electrónica, Control y Procesamiento de Señales