STRUCTURE AND DYNAMICS IN COMPLEX NETWORKS
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Thu, 07/06/2012 16:00 |
Luciano da F. Costa (Brazil University of São Paulo) |
Industrial and Applied Mathematics Seminar  |
DH 1st floor SR |
| Complex networks have been used to model almost any real-world complex systems. An especially important issue regards how to related their structure and dynamics, which contributes not only for the better understanding of such systems, but also to the prediction of important dynamical properties from specific topological features. In this talk I revise related research developed recently in my group. Particularly attention is given to the concept of accessibility, a new measurement integrating topology and dynamics, and the relationship between frequency of visits and node degree in directed modular complex networks. Analytical results are provided that allow accurate prediction of correlations between structure and dynamics in systems underlain by directed diffusion. The methodology is illustrated with respect to the macaque cortical network. | |||