2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/25093In this work we analyze scale-free networks with different power law spectra $N(k) \sim k^{-γ}$ under a boolean dynamic, where the boolean rule that each node obeys is a function of its connectivity $k$. This is done by using only two logical functions (AND and XOR) which are controlled by a parameter $q$. Using damage spreading technique we show that the Hamming distance and the number of 1's exhibit power law behavior as a function of $q$. The exponents appearing in the power laws depend on the value of $γ$.8 pages, 7 Postscript; to appear in Phys. Rev. EStatistical MechanicsDisordered Systems and Neural Networkstext