Power Law Scaling for a System of Interacting Units with Complex Internal Structure
L. A. N. Amaral, S. V. Buldyrev, S. Havlin, M. A. Salinger, H. E. Stanley
Abstract
We study the dynamics of a system composed of interacting units each with a complex internal structure comprising many subunits. We consider the case in which each subunit grows in a multiplicative manner. We propose a model for such systems in which the interaction among the units is treated in a mean field approximation and the interaction among subunits is nonlinear. To test the model, we identify a large data base spanning 20 years, and find that the model correctly predicts a variety of empirical results.
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