Affiliation:
1. Universidade Técnica de Lisboa and Centro de Matemática e Aplicacões Fundamentais, Complexo Interdisciplinar, Av. Gama Pinto 2, 1649-003 Lisboa, Portugal
Abstract
Networks have been studied mainly by statistical methods which emphasize their topological structure. Here, one collects some mathematical tools and results which might be useful to study both the dynamics of agents living on the network and the networks themselves as evolving dynamical systems. They include decomposition of differential dynamics, ergodic techniques, estimates of invariant measures, construction of non deterministic automata, logical approaches, etc. A few network examples are discussed as an application of the dynamical tools.
Publisher
World Scientific Pub Co Pte Lt
Subject
Applied Mathematics,Modelling and Simulation,Engineering (miscellaneous)
Cited by
9 articles.
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