# Network Evolution Induced by the Dynamical Rules of Two Populations - Physics > Physics and Society

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Abstract: We study the dynamical properties of a finite dynamical network composed oftwo interacting populations, namely; extrovert $a$ and introvert $b$. Inour model, each group is characterized by its size $N a$ and $N b$ andpreferred degree $\kappa a$ and $\kappa b\ll\kappa a$. The network dynamicsis governed by the competing microscopic rules of each population that consistof the creation and destruction of links. Starting from an unconnected network,we give a detailed analysis of the mean field approach which is compared toMonte Carlo simulation data. The time evolution of the restricted degrees$\moyenne{k {bb}}$ and $\moyenne{k {ab}}$ presents three time regimes and a nonmonotonic behavior well captured by our theory. Surprisingly, when thepopulation size are equal $N a=N b$, the ratio of the restricted degree$\theta 0=\moyenne{k {ab}}-\moyenne{k {bb}}$ appears to be an integer in theasymptotic limits of the three time regimes. For early times defined by\$t

Autor: T. Platini, R.K.P. Zia

Fuente: https://arxiv.org/