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Journal Articles

How neural networks learn to classify chaotic time series

Alessandro Corbetta, Thomas Geert de Jong

Chaos 33, 123101 (2023)

https://doi.org/10.1063/5.0160813

Published: December 2023

View article titled, How neural networks learn to classify chaotic time series

Journal Articles

Nowhere coexpanding functions

Andrew Cook, Andy Hammerlindl, Warwick Tucker

Chaos 33, 123105 (2023)

https://doi.org/10.1063/5.0162148

Published: December 2023

View article titled, Nowhere coexpanding functions

Journal Articles

Learning nonlinear projections for reduced-order modeling of dynamical systems using constrained autoencoders

Samuel E. Otto, Gregory R. Macchio, Clarence W. Rowley

Chaos 33, 113130 (2023)

https://doi.org/10.1063/5.0169688

Published: November 2023

View article titled, Learning nonlinear projections for reduced-order modeling of dynamical systems using constrained autoencoders

Journal Articles

Quantum neural networks for the discovery and implementation of quantum error-correcting codes

A. Chalkiadakis, M. Theocharakis, G. D. Barmparis, G. P. Tsironis

Chaos 33, 113127 (2023)

https://doi.org/10.1063/5.0157940

Published: November 2023

View article titled, Quantum neural networks for the discovery and implementation of quantum error-correcting codes

Journal Articles

Resonant properties of the memory capacity of a laser-based reservoir computer with filtered optoelectronic feedback

G. O. Danilenko, A. V. Kovalev, E. A. Viktorov, A. Locquet, D. S. Citrin, D. Rontani

Chaos 33, 113125 (2023)

https://doi.org/10.1063/5.0172039

Published: November 2023

View article titled, Resonant properties of the memory capacity of a laser-based reservoir computer with filtered optoelectronic feedback

Journal Articles

Reservoir computing decoupling memory–nonlinearity trade-off

Ji Xia, Junyu Chu, Siyang Leng, Huanfei Ma

Chaos 33, 113120 (2023)

https://doi.org/10.1063/5.0156224

Published: November 2023

View article titled, Reservoir computing decoupling memory–nonlinearity trade-off

Journal Articles

Seeing double with a multifunctional reservoir computer

Andrew Flynn, Vassilios A. Tsachouridis, Andreas Amann

Chaos 33, 113115 (2023)

https://doi.org/10.1063/5.0157648

Published: November 2023

View article titled, Seeing double with a multifunctional reservoir computer

Journal Articles

The complementary contribution of each order topology into the synchronization of multi-order networks

Xiaomin Ren, Youming Lei, Celso Grebogi, Murilo S. Baptista

Chaos 33, 111101 (2023)

https://doi.org/10.1063/5.0177687

Published: November 2023

View article titled, The complementary contribution of each order topology into the synchronization of multi-order networks

Includes: Supplementary data

Journal Articles

Optimizing the combination of data-driven and model-based elements in hybrid reservoir computing

Dennis Duncan, Christoph Räth

Chaos 33, 103109 (2023)

https://doi.org/10.1063/5.0164013

Published: October 2023

View article titled, Optimizing the combination of data-driven and model-based elements in hybrid reservoir computing

Journal Articles

Generative modeling of time-dependent densities via optimal transport and projection pursuit

Jonah Botvinick-Greenhouse, Yunan Yang, Romit Maulik

Chaos 33, 103108 (2023)

https://doi.org/10.1063/5.0155783

Published: October 2023

View article titled, Generative modeling of time-dependent densities via optimal transport and projection pursuit

Journal Articles

Constraining chaos: Enforcing dynamical invariants in the training of reservoir computers

Jason A. Platt, Stephen G. Penny, Timothy A. Smith, Tse-Chun Chen, Henry D. I. Abarbanel

Chaos 33, 103107 (2023)

https://doi.org/10.1063/5.0156999

Published: October 2023

View article titled, Constraining chaos: Enforcing dynamical invariants in the training of reservoir computers

Journal Articles

Toward dynamic stability assessment of power grid topologies using graph neural networks

Christian Nauck, Michael Lindner, Konstantin Schürholt, Frank Hellmann

Chaos 33, 103103 (2023)

https://doi.org/10.1063/5.0160915

Published: October 2023

View article titled, Toward dynamic stability assessment of power grid topologies using graph neural networks

Journal Articles

Internal dynamics of recurrent neural networks trained to generate complex spatiotemporal patterns

Oleg V. Maslennikov, Chao Gao, Vladimir I. Nekorkin

Chaos 33, 093125 (2023)

https://doi.org/10.1063/5.0166359

Published: September 2023

View article titled, Internal dynamics of recurrent neural networks trained to generate complex spatiotemporal patterns

Journal Articles

Neural network approximation of optimal controls for stochastic reaction–diffusion equations

W. Stannat, A. Vogler, L. Wessels

Chaos 33, 093118 (2023)

https://doi.org/10.1063/5.0143939

Published: September 2023

View article titled, Neural network approximation of optimal controls for stochastic reaction–diffusion equations

Journal Articles

A double-cycle echo state network topology for time series prediction

Jun Fu, Guangli Li, Jianfeng Tang, Lei Xia, Lidan Wang, Shukai Duan

Chaos 33, 093113 (2023)

https://doi.org/10.1063/5.0159966

Published: September 2023

View article titled, A double-cycle echo state network topology for time series prediction

Journal Articles

Scale-free avalanches in arrays of FitzHugh–Nagumo oscillators

Max Contreras, Everton S. Medeiros, Anna Zakharova, Philipp Hövel, Igor Franović

Chaos 33, 093106 (2023)

https://doi.org/10.1063/5.0165778

Published: September 2023

View article titled, Scale-free avalanches in arrays of FitzHugh–Nagumo oscillators

Journal Articles

Reconstruction, forecasting, and stability of chaotic dynamics from partial data

Elise Özalp, Georgios Margazoglou, Luca Magri

Chaos 33, 093107 (2023)

https://doi.org/10.1063/5.0159479

Published: September 2023

View article titled, Reconstruction, forecasting, and stability of chaotic dynamics from partial data

Journal Articles

Symbolic regression via neural networks

N. Boddupalli, T. Matchen, J. Moehlis

Chaos 33, 083150 (2023)

https://doi.org/10.1063/5.0134464

Published: August 2023

View article titled, Symbolic regression via neural networks

Journal Articles

Machine learning enhanced Hankel dynamic-mode decomposition

Christopher W. Curtis, D. Jay Alford-Lago, Erik Bollt, Andrew Tuma

Chaos 33, 083133 (2023)

https://doi.org/10.1063/5.0150689

Published: August 2023

View article titled, Machine learning enhanced Hankel dynamic-mode decomposition

Journal Articles

A novel fixed-time stability lemma and its application in the stability analysis of BAM neural networks

Chuan Chen, Lixiang Li, Ling Mi, Dawei Zhao, Xiaoli Qin

Chaos 33, 083117 (2023)

https://doi.org/10.1063/5.0154711

Published: August 2023

View article titled, A novel fixed-time stability lemma and its application in the stability analysis of BAM neural networks

NARROW

Topics

How neural networks learn to classify chaotic time series

Nowhere coexpanding functions

Learning nonlinear projections for reduced-order modeling of dynamical systems using constrained autoencoders

Quantum neural networks for the discovery and implementation of quantum error-correcting codes

Resonant properties of the memory capacity of a laser-based reservoir computer with filtered optoelectronic feedback

Reservoir computing decoupling memory–nonlinearity trade-off

Seeing double with a multifunctional reservoir computer

The complementary contribution of each order topology into the synchronization of multi-order networks

Optimizing the combination of data-driven and model-based elements in hybrid reservoir computing

Generative modeling of time-dependent densities via optimal transport and projection pursuit

Constraining chaos: Enforcing dynamical invariants in the training of reservoir computers

Toward dynamic stability assessment of power grid topologies using graph neural networks

Internal dynamics of recurrent neural networks trained to generate complex spatiotemporal patterns

Neural network approximation of optimal controls for stochastic reaction–diffusion equations

A double-cycle echo state network topology for time series prediction

Scale-free avalanches in arrays of FitzHugh–Nagumo oscillators

Reconstruction, forecasting, and stability of chaotic dynamics from partial data

Symbolic regression via neural networks

Machine learning enhanced Hankel dynamic-mode decomposition

A novel fixed-time stability lemma and its application in the stability analysis of BAM neural networks

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