Emulating complex networks with a single delay differential equation
Institute of Mathematics, Technische Universität Berlin, Berlin, Germany
2 Department of Mathematics, Humboldt-Universität zu Berlin, Berlin, Germany
Accepted: 23 April 2021
Published online: 6 June 2021
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.
© The Author(s) 2021
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