Modelling Damage Propagation in Complex Networks: Life Exists in Half-Chaos

摘要: Human institutions and administrative units, technological processes, technical constructions, and living organisms can all be modelled as dynamical, discrete and finite complex networks. This is an important practical approach in modelling complex dynamical systems. Original Kauffman’s hypothesis life on the edge of chaos imposes considerable limitations on such modelling. The problem is exacerbated by the estimated network parameters usually far away from the range indicated by the hypothesis itself. This report describes experimental evidence and argues that the assumptions leading to Kauffman’s conclusion turn out to be too simplistic. In the Kauffman’s approach to predict statistical stability, random networks approximated by infinite and continuous systems are used. These networks can be either stable (i.e. ordered) or unstable (i.e. chaotic). By slightly adjusting the network parameters, a rapid …