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Journal Articles

A logarithm law for non-autonomous systems rapidly converging to equilibrium and mean field coupled systems

Stefano Galatolo, Davide Faranda

Chaos 35, 023108 (2025)

https://doi.org/10.1063/5.0221721

Published: February 2025

View article titled, A logarithm law for non-autonomous systems rapidly converging to equilibrium and mean field coupled systems

Journal Articles

Generalized synchronization in the presence of dynamical noise and its detection via recurrent neural networks

José M. Amigó, Roberto Dale, Juan C. King, Klaus Lehnertz

Chaos 34, 123156 (2024)

https://doi.org/10.1063/5.0235802

Published: December 2024

View article titled, Generalized synchronization in the presence of dynamical noise and its detection via recurrent neural networks

Journal Articles

Phase holonomy underlies puzzling temporal patterns in Kuramoto models with two sub-populations

Aladin Crnkić, Vladimir Jaćimović

Chaos 34, 073141 (2024)

https://doi.org/10.1063/5.0186807

Published: July 2024

View article titled, Phase holonomy underlies puzzling temporal patterns in Kuramoto models with two sub-populations

Journal Articles

Transformations establishing equivalence across neural networks: When have two networks learned the same task?

Tom Bertalan, Felix Dietrich, Ioannis G. Kevrekidis

Chaos 34, 073138 (2024)

https://doi.org/10.1063/5.0206406

Published: July 2024

View article titled, Transformations establishing equivalence across neural networks: When have two networks learned the same task?

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

Chimeras and traveling waves in ensembles of Kuramoto oscillators off the Poisson manifold

Aladin Crnkić, Vladimir Jaćimović

Chaos 34, 023130 (2024)

https://doi.org/10.1063/5.0184433

Published: February 2024

View article titled, Chimeras and traveling waves in ensembles of Kuramoto oscillators off the Poisson manifold

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

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

Transformations that preserve the uniqueness of the differential form for Lorenz-like systems

Claudia Lainscsek, Eduardo M. A. M. Mendes, Gustavo H. O. Salgado, Terrence J. Sejnowski

Chaos 33, 103122 (2023)

https://doi.org/10.1063/5.0156237

Published: October 2023

View article titled, Transformations that preserve the uniqueness of the differential form for Lorenz-like systems

Includes: Supplementary data

Journal Articles

Synchronization of multiple rigid body systems: A survey

Xin Jin, Daniel W. C. Ho, Yang Tang

Chaos 33, 092102 (2023)

https://doi.org/10.1063/5.0156301

Published: September 2023

View article titled, Synchronization of multiple rigid body systems: A survey

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

Hamiltonian neural networks with automatic symmetry detection

Eva Dierkes, Christian Offen, Sina Ober-Blöbaum, Kathrin Flaßkamp

Chaos 33, 063115 (2023)

https://doi.org/10.1063/5.0142969

Published: June 2023

View article titled, Hamiltonian neural networks with automatic symmetry detection

Journal Articles

A data-driven approach for discovering the most probable transition pathway for a stochastic carbon cycle system

Jianyu Chen, Jianyu Hu, Wei Wei, Jinqiao Duan

Chaos 32, 113140 (2022)

https://doi.org/10.1063/5.0116643

Published: November 2022

View article titled, A data-driven approach for discovering the most probable transition pathway for a stochastic carbon cycle system

Journal Articles

ABC-like flows on the 3-torus

Mihai Marciu, Radu Slobodeanu

Chaos 32, 083145 (2022)

https://doi.org/10.1063/5.0090849

Published: August 2022

View article titled, ABC-like flows on the 3-torus

Journal Articles

Detecting intrinsic global geometry of an obstacle via layered scattering

Leonid Bunimovich, Gabriel Katz

Chaos 32, 073112 (2022)

https://doi.org/10.1063/5.0091256

Published: July 2022

View article titled, Detecting intrinsic global geometry of an obstacle via layered scattering

Journal Articles

Improving time series prediction accuracy for the maxima of a flow by reconstructions using local cross sections

Yoshito Hirata, Masanori Shiro

Chaos 32, 063103 (2022)

https://doi.org/10.1063/5.0092433

Published: June 2022

View article titled, Improving time series prediction accuracy for the maxima of a flow by reconstructions using local cross sections

Includes: Supplementary data

Journal Articles

Information geometry theory of bifurcations? A covariant formulation

V. B. da Silva, J. P. Vieira, Edson D. Leonel

Chaos 32, 023119 (2022)

https://doi.org/10.1063/5.0069033

Published: February 2022

View article titled, Information geometry theory of bifurcations? A covariant formulation

Journal Articles

Line-solitons of a two-component KP hierarchy

Changgen Hu, Chuanzhong Li

Chaos 31, 113139 (2021)

https://doi.org/10.1063/5.0059840

Published: November 2021

View article titled, Line-solitons of a two-component KP hierarchy

Journal Articles

Optimal flatness placement of sensors and actuators for controlling chaotic systems

Christophe Letellier, Jean-Pierre Barbot

Chaos 31, 103114 (2021)

https://doi.org/10.1063/5.0055895

Published: October 2021

View article titled, Optimal flatness placement of sensors and actuators for controlling chaotic systems

Journal Articles

Dead zones and phase reduction of coupled oscillators

Peter Ashwin, Christian Bick, Camille Poignard

Chaos 31, 093132 (2021)

https://doi.org/10.1063/5.0063423

Published: September 2021

View article titled, Dead zones and phase reduction of coupled oscillators

NARROW

Topics

A logarithm law for non-autonomous systems rapidly converging to equilibrium and mean field coupled systems

Generalized synchronization in the presence of dynamical noise and its detection via recurrent neural networks

Phase holonomy underlies puzzling temporal patterns in Kuramoto models with two sub-populations

Transformations establishing equivalence across neural networks: When have two networks learned the same task?

An “Observable” horseshoe map

Chimeras and traveling waves in ensembles of Kuramoto oscillators off the Poisson manifold

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

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

Transformations that preserve the uniqueness of the differential form for Lorenz-like systems

Synchronization of multiple rigid body systems: A survey

Machine learning enhanced Hankel dynamic-mode decomposition

Hamiltonian neural networks with automatic symmetry detection

A data-driven approach for discovering the most probable transition pathway for a stochastic carbon cycle system

ABC-like flows on the 3-torus

Detecting intrinsic global geometry of an obstacle via layered scattering

Improving time series prediction accuracy for the maxima of a flow by reconstructions using local cross sections

Information geometry theory of bifurcations? A covariant formulation

Line-solitons of a two-component KP hierarchy

Optimal flatness placement of sensors and actuators for controlling chaotic systems

Dead zones and phase reduction of coupled oscillators

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