Emergent topologies in activity-dependent self-organizing networks
Korea Institute for Advanced Study - Seoul 130-722, Korea
2 Department of Physics and Astronomy and Center for Theoretical Physics, Seoul National University Seoul 151-747, Korea
Accepted: 19 July 2011
Activity-dependent self-organization is the principal mechanism for network formation in some empirical systems. Inspired by previous studies of the brain network formation, we develop a simple model containing concisely the generic mechanism of activity-dependent self-organizing networks. We find that a variety of topologies, including small-world and scale-free graphs, emerges in the equilibrium state of the connecting-disconnecting process. In addition, it is analytically shown how scale-free properties can emerge robustly in such non-growing networks.
PACS: 89.75.Fb – Structures and organization in complex systems / 89.75.Da – Systems obeying scaling laws / 87.19.lp – Pattern formation: activity and anatomic
© EPLA, 2011