TY - JOUR
T1 - Power law scaling for a system of interacting units with complex internal structure
AU - Amaral, Luís A.Nunes
AU - Buldyrev, Sergey V.
AU - Havlin, Shlomo
AU - Salinger, Michael A.
AU - Stanley, H. Eugene
PY - 1998/2/16
Y1 - 1998/2/16
N2 - We study the dynamics of a system composed of interacting units each with a complex internal structure comprising many subunits and treat 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. We test the model and find agreement between our predictions and empirical results based on a large economics database spanning 20 years.
AB - We study the dynamics of a system composed of interacting units each with a complex internal structure comprising many subunits and treat 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. We test the model and find agreement between our predictions and empirical results based on a large economics database spanning 20 years.
UR - http://www.scopus.com/inward/record.url?scp=0000405905&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.80.1385
DO - 10.1103/PhysRevLett.80.1385
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AN - SCOPUS:0000405905
SN - 0031-9007
VL - 80
SP - 1385
EP - 1388
JO - Physical Review Letters
JF - Physical Review Letters
IS - 7
ER -