Emulating complex networks with a single delay differential equation

Author:

Stelzer Florian,Yanchuk Serhiy

Abstract

AbstractA 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.

Funder

Technische Universität Berlin

Publisher

Springer Science and Business Media LLC

Subject

Physical and Theoretical Chemistry,General Physics and Astronomy,General Materials Science

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Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Generative complex networks within a dynamic memristor with intrinsic variability;Nature Communications;2023-10-02

2. Master Memory Function for Delay-Based Reservoir Computers With Single-Variable Dynamics;IEEE Transactions on Neural Networks and Learning Systems;2022

3. Dynamical phenomena in complex networks: fundamentals and applications;The European Physical Journal Special Topics;2021-09-29

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