Adaptive dynamical networks

R Berner, T Gross, C Kuehn, J Kurths, S Yanchuk - Physics Reports, 2023 - Elsevier
It is a fundamental challenge to understand how the function of a network is related to its
structural organization. Adaptive dynamical networks represent a broad class of systems that …

Optoelectronic oscillators with time-delayed feedback

YK Chembo, D Brunner, M Jacquot, L Larger - Reviews of Modern Physics, 2019 - APS
Time-delayed optoelectronic oscillators are at the center of a large body of scientific
literature. The complex behavior of these nonlinear oscillators has been thoroughly explored …

Deep learning algorithm for data-driven simulation of noisy dynamical system

K Yeo, I Melnyk - Journal of Computational Physics, 2019 - Elsevier
We present a deep learning model, DE-LSTM, for the simulation of a stochastic process with
an underlying nonlinear dynamics. The deep learning model aims to approximate the …

Modeling spatio-temporal dynamical systems with neural discrete learning and levels-of-experts

K Wang, H Wu, G Zhang, J Fang… - … on Knowledge and …, 2024 - ieeexplore.ieee.org
In this article, we address the issue of modeling and estimating changes in the state of the
spatio-temporal dynamical systems based on a sequence of observations like video frames …

Deep time-delay reservoir computing: Dynamics and memory capacity

M Goldmann, F Köster, K Lüdge… - … Interdisciplinary Journal of …, 2020 - pubs.aip.org
The deep time-delay reservoir computing concept utilizes unidirectionally connected
systems with time-delays for supervised learning. We present how the dynamical properties …

Machine learning based on reservoir computing with time-delayed optoelectronic and photonic systems

YK Chembo - Chaos: An Interdisciplinary Journal of Nonlinear …, 2020 - pubs.aip.org
The concept of reservoir computing emerged from a specific machine learning paradigm
characterized by a three-layered architecture (input, reservoir, and output), where only the …

Delayed-feedback oscillators replicate the dynamics of multiplex networks: wavefront propagation and stochastic resonance

A Zakharova, VV Semenov - Neural Networks, 2025 - Elsevier
The widespread development and use of neural networks have significantly enriched a wide
range of computer algorithms and promise higher speed at lower cost. However, the …

Deep neural networks using a single neuron: folded-in-time architecture using feedback-modulated delay loops

F Stelzer, A Röhm, R Vicente, I Fischer… - Nature …, 2021 - nature.com
Deep neural networks are among the most widely applied machine learning tools showing
outstanding performance in a broad range of tasks. We present a method for folding a deep …

Extreme events in FitzHugh-Nagumo oscillators coupled with two time delays

A Saha, U Feudel - Physical Review E, 2017 - APS
We study two identical FitzHugh-Nagumo oscillators which are coupled with one or two
different time delays. If only a single-delay coupling is used, the length of the delay …

Effects of partial time delays on phase synchronization in Watts-Strogatz small-world neuronal networks

X Sun, M Perc, J Kurths - Chaos: An Interdisciplinary Journal of …, 2017 - pubs.aip.org
In this paper, we study effects of partial time delays on phase synchronization in Watts-
Strogatz small-world neuronal networks. Our focus is on the impact of two parameters …