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Journal Articles

An algorithm for simplified recurrence analysis

Rémi Delage, Toshihiko Nakata

Chaos 34, 093114 (2024)

https://doi.org/10.1063/5.0225465

Published: September 2024

View article titled, An algorithm for simplified recurrence analysis

Journal Articles

Riddled basins of chaotic synchronization and unstable dimension variability in coupled Lorenz-like systems

Bruno M. Czajkowski, Ricardo L. Viana

Chaos 34, 093113 (2024)

https://doi.org/10.1063/5.0219961

Published: September 2024

View article titled, Riddled basins of chaotic synchronization and unstable dimension variability in coupled Lorenz-like systems

Journal Articles

Dynamical system identification, model selection, and model uncertainty quantification by Bayesian inference

Robert K. Niven, Laurent Cordier, Ali Mohammad-Djafari, Markus Abel, Markus Quade

Chaos 34, 083140 (2024)

https://doi.org/10.1063/5.0200684

Published: August 2024

View article titled, Dynamical system identification, model selection, and model uncertainty quantification by Bayesian inference

Journal Articles

Model adaptive phase space reconstruction

Jayesh M. Dhadphale, K. Hauke Kraemer, Maximilian Gelbrecht, Jürgen Kurths, Norbert Marwan, R. I. Sujith

Chaos 34, 073125 (2024)

https://doi.org/10.1063/5.0194330

Published: July 2024

View article titled, Model adaptive phase space reconstruction

Journal Articles

Photonic next-generation reservoir computer based on distributed feedback in optical fiber

Nicholas Cox, Joseph Murray, Joseph Hart, Brandon Redding

Chaos 34, 073111 (2024)

https://doi.org/10.1063/5.0212158

Published: July 2024

View article titled, Photonic next-generation reservoir computer based on distributed feedback in optical fiber

Journal Articles

Frenetic steering: Nonequilibrium-enabled navigation

Bram Lefebvre, Christian Maes

Chaos 34, 063121 (2024)

https://doi.org/10.1063/5.0177223

Published: June 2024

View article titled, Frenetic steering: Nonequilibrium-enabled navigation

Journal Articles

Nonlinear model reduction to temporally aperiodic spectral submanifolds

George Haller, Roshan S. Kaundinya

Chaos 34, 043152 (2024)

https://doi.org/10.1063/5.0187080

Published: April 2024

View article titled, Nonlinear model reduction to temporally aperiodic spectral submanifolds

Journal Articles

Attractor reconstruction with reservoir computers: The effect of the reservoir’s conditional Lyapunov exponents on faithful attractor reconstruction

Joseph D. Hart

Chaos 34, 043123 (2024)

https://doi.org/10.1063/5.0196257

Published: April 2024

View article titled, Attractor reconstruction with reservoir computers: The effect of the reservoir’s conditional Lyapunov exponents on faithful attractor reconstruction

Journal Articles

DEFM: Delay-embedding-based forecast machine for time series forecasting by spatiotemporal information transformation

Hao Peng, Wei Wang, Pei Chen, Rui Liu

Chaos 34, 043112 (2024)

https://doi.org/10.1063/5.0181791

Published: April 2024

View article titled, DEFM: Delay-embedding-based forecast machine for time series forecasting by spatiotemporal information transformation

Includes: Supplementary data

Journal Articles

Data-driven modeling and forecasting of chaotic dynamics on inertial manifolds constructed as spectral submanifolds

Aihui Liu, Joar Axås, George Haller

Chaos 34, 033140 (2024)

https://doi.org/10.1063/5.0179741

Published: March 2024

View article titled, Data-driven modeling and forecasting of chaotic dynamics on inertial manifolds constructed as spectral submanifolds

Journal Articles

Deep learning-based state prediction of the Lorenz system with control parameters

Xiaolong Wang, Jing Feng, Yong Xu, Jürgen Kurths

Chaos 34, 033108 (2024)

https://doi.org/10.1063/5.0187866

Published: March 2024

View article titled, Deep learning-based state prediction of the Lorenz system with control parameters

Journal Articles

An “Observable” horseshoe map

Xu Zhang, Yukai Wang, Guanrong Chen

Chaos 34, 021106 (2024)

https://doi.org/10.1063/5.0188700

Published: February 2024

View article titled, An “Observable” horseshoe map

Journal Articles

Global forecasts in reservoir computers

S. Harding, Q. Leishman, W. Lunceford, D. J. Passey, T. Pool, B. Webb

Chaos 34, 023136 (2024)

https://doi.org/10.1063/5.0181694

Published: February 2024

View article titled, Global forecasts in reservoir computers

Journal Articles

Infinite-memory classical wave-particle entities, attractor-driven active particles, and the diffusionless Lorenz equations

R. N. Valani

Chaos 34, 013133 (2024)

https://doi.org/10.1063/5.0171007

Published: January 2024

View article titled, Infinite-memory classical wave-particle entities, attractor-driven active particles, and the diffusionless Lorenz equations

Includes: Supplementary data

Journal Articles

Fourier phase index for extracting signatures of determinism and nonlinear features in time series

Alberto Isaac Aguilar-Hernández, David Michel Serrano-Solis, Wady A. Ríos-Herrera, José Fernando Zapata-Berruecos, Gloria Vilaclara, Gustavo Martínez-Mekler, Markus F. Müller

Chaos 34, 013103 (2024)

https://doi.org/10.1063/5.0160555

Published: January 2024

View article titled, Fourier phase index for extracting signatures of determinism and nonlinear features in time series

Journal Articles

Control of chaotic systems through reservoir computing

Zi-Fei Lin, Yan-Ming Liang, Jia-Li Zhao, Jing Feng, Tomasz Kapitaniak

Chaos 33, 121101 (2023)

https://doi.org/10.1063/5.0176358

Published: December 2023

View article titled, Control of chaotic systems through reservoir computing

Journal Articles

On discrete Lorenz-like attractors in three-dimensional maps with axial symmetry

Sergey Gonchenko, Aleksandr Gonchenko

Chaos 33, 123104 (2023)

https://doi.org/10.1063/5.0172243

Published: December 2023

View article titled, On discrete Lorenz-like attractors in three-dimensional maps with axial symmetry

Journal Articles

Planetary influences on the solar cycle: A nonlinear dynamics approach

Juan M. Muñoz, Alexandre Wagemakers, Miguel A. F. Sanjuán

Chaos 33, 123102 (2023)

https://doi.org/10.1063/5.0166920

Published: December 2023

View article titled, Planetary influences on the solar cycle: A nonlinear dynamics approach

Journal Articles

Directed recurrence networks

Rémi Delage, Toshihiko Nakata

Chaos 33, 113103 (2023)

https://doi.org/10.1063/5.0173394

Published: November 2023

View article titled, Directed recurrence networks

Journal Articles

Reliability and robustness of oscillations in some slow-fast chaotic systems

Jonathan Jaquette, Sonal Kedia, Evelyn Sander, Jonathan D. Touboul

Chaos 33, 103135 (2023)

https://doi.org/10.1063/5.0166846

Published: October 2023

View article titled, Reliability and robustness of oscillations in some slow-fast chaotic systems

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Topics

An algorithm for simplified recurrence analysis

Riddled basins of chaotic synchronization and unstable dimension variability in coupled Lorenz-like systems

Dynamical system identification, model selection, and model uncertainty quantification by Bayesian inference

Model adaptive phase space reconstruction

Photonic next-generation reservoir computer based on distributed feedback in optical fiber

Frenetic steering: Nonequilibrium-enabled navigation

Nonlinear model reduction to temporally aperiodic spectral submanifolds

Attractor reconstruction with reservoir computers: The effect of the reservoir’s conditional Lyapunov exponents on faithful attractor reconstruction

DEFM: Delay-embedding-based forecast machine for time series forecasting by spatiotemporal information transformation

Data-driven modeling and forecasting of chaotic dynamics on inertial manifolds constructed as spectral submanifolds

Deep learning-based state prediction of the Lorenz system with control parameters

An “Observable” horseshoe map

Global forecasts in reservoir computers

Infinite-memory classical wave-particle entities, attractor-driven active particles, and the diffusionless Lorenz equations

Fourier phase index for extracting signatures of determinism and nonlinear features in time series

Control of chaotic systems through reservoir computing

On discrete Lorenz-like attractors in three-dimensional maps with axial symmetry

Planetary influences on the solar cycle: A nonlinear dynamics approach

Directed recurrence networks

Reliability and robustness of oscillations in some slow-fast chaotic systems

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