Emulating complex networks with a single delay differential equation

DOI10.1140/EPJS/S11734-021-00162-5arXiv2012.12222WikidataQ115246567 ScholiaQ115246567MaRDI QIDQ6356734

Publication date: 22 December 2020

Abstract: A single dynamical system with time-delayed feedback can emulate networks. This property of delay systems made them extremely useful tools for Machine Learning applications. Here we describe several possible setups, which allow emulating multilayer (deep) feed-forward networks as well as recurrent networks of coupled discrete maps with arbitrary adjacency matrix by a single system with delayed feedback. While the network's size can be arbitrary, the generating delay system can have a low number of variables, including a scalar case.

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