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• W2138434353 abstract "We show that for a certain class of dynamics at the nodes the response of a network of any topology to arbitrary inputs is defined in a simple way by its response to a monotone input. The nodes may have either a discrete or continuous set of states and there is no limit on the complexity of the network. The results provide both an efficient numerical method and the potential for accurate analytic approximation of the dynamics on such networks. As illustrative applications, we introduce a quasistatic mechanical model with objects interacting via frictional forces, and a financial market model with avalanches and critical behavior that are generated by momentum trading strategies." @default.
• W2138434353 created "2016-06-24" @default.
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• W2138434353 date "2014-09-29" @default.
• W2138434353 modified "2023-10-17" @default.
• W2138434353 title "Analytical solution for a class of network dynamics with mechanical and financial applications" @default.
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• W2138434353 doi "https://doi.org/10.1103/physreve.90.032822" @default.
• W2138434353 hasPubMedId "https://pubmed.ncbi.nlm.nih.gov/25314496" @default.
• W2138434353 hasPublicationYear "2014" @default.
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