Tools for network dynamics

Details Tools for network dynamics Tools for network dynamics

2003-04-28

arxiv.org/abs/cond-mat/0304640v2

Int. Journal of Bifurcation and Chaos 15 (2005) 1185-1213

Physics

Condensed Matter

Disordered Systems and Neural Networks

28 pages Latex, 10 figures

Scientific paper

Networks have been studied mainly using statistical methods. Here I collect some dynamical systems tools which are useful to study both the dynamics on networks and their evolution. They include decomposition of differential dynamics, ergodic invariants and estimates of invariant measures by small random perturbations. A few network examples are discussed as an application of some of the dynamical tools.

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