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Journal Articles

Stability of Kuramoto networks subject to large and small fluctuations from heterogeneous and spatially correlated noise

Jason Hindes, Ira B. Schwartz, Melvyn Tyloo

Chaos 33, 113129 (2023)

https://doi.org/10.1063/5.0163992

Published: November 2023

View article titled, Stability of Kuramoto networks subject to large and small fluctuations from heterogeneous and spatially correlated noise

Includes: Supplementary data

Journal Articles

Stable chimera states: A geometric singular perturbation approach

Luis Guillermo Venegas-Pineda, Hildeberto Jardón-Kojakhmetov, Ming Cao

Chaos 33, 113123 (2023)

https://doi.org/10.1063/5.0142122

Published: November 2023

View article titled, Stable chimera states: A geometric singular perturbation approach

Journal Articles

Circular cumulant reductions for macroscopic dynamics of oscillator populations with non-Gaussian noise

Anastasiya V. Dolmatova, Irina V. Tyulkina, Denis S. Goldobin

Chaos 33, 113102 (2023)

https://doi.org/10.1063/5.0159982

Published: November 2023

View article titled, Circular cumulant reductions for macroscopic dynamics of oscillator populations with non-Gaussian noise

Journal Articles

Composed solutions of synchronized patterns in multiplex networks of Kuramoto oscillators

Priya B. Jain, Tung T. Nguyen, Ján Mináč, Lyle E. Muller, Roberto C. Budzinski

Chaos 33, 103128 (2023)

https://doi.org/10.1063/5.0161399

Published: October 2023

View article titled, Composed solutions of synchronized patterns in multiplex networks of Kuramoto oscillators

Journal Articles

High-order phase reduction for coupled 2D oscillators

Erik T. K. Mau, Michael Rosenblum, Arkady Pikovsky

Chaos 33, 101101 (2023)

https://doi.org/10.1063/5.0169008

Published: October 2023

View article titled, High-order phase reduction for coupled 2D oscillators

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

On the number of stable solutions in the Kuramoto model

Alex Arenas, Antonio Garijo, Sergio Gómez, Jordi Villadelprat

Chaos 33, 093127 (2023)

https://doi.org/10.1063/5.0161977

Published: September 2023

View article titled, On the number of stable solutions in the Kuramoto model

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

Desynchronizing oscillators coupled in multi-cluster networks through adaptively controlling partial networks

Kaidian Wang, Luan Yang, Shijie Zhou, Wei Lin

Chaos 33, 091101 (2023)

https://doi.org/10.1063/5.0167555

Published: September 2023

View article titled, Desynchronizing oscillators coupled in multi-cluster networks through adaptively controlling partial networks

Journal Articles

Synchronization transitions and sensitivity to asymmetry in the bimodal Kuramoto systems with Cauchy noise

V. A. Kostin, V. O. Munyaev, G. V. Osipov, L. A. Smirnov

Chaos 33, 083155 (2023)

https://doi.org/10.1063/5.0160006

Published: August 2023

View article titled, Synchronization transitions and sensitivity to asymmetry in the bimodal Kuramoto systems with Cauchy noise

Journal Articles

Chimeras in phase oscillator networks locally coupled through an auxiliary field: Stability and bifurcations

Carlo R. Laing

Chaos 33, 083141 (2023)

https://doi.org/10.1063/5.0156627

Published: August 2023

View article titled, Chimeras in phase oscillator networks locally coupled through an auxiliary field: Stability and bifurcations

Journal Articles

Framework for global stability analysis of dynamical systems

George Datseris, Kalel Luiz Rossi, Alexandre Wagemakers

Chaos 33, 073151 (2023)

https://doi.org/10.1063/5.0159675

Published: July 2023

View article titled, Framework for global stability analysis of dynamical systems

Journal Articles

Exploring nonlinear dynamics and network structures in Kuramoto systems using machine learning approaches

Je Ung Song, Kwangjong Choi, Soo Min Oh, B. Kahng

Chaos 33, 073148 (2023)

https://doi.org/10.1063/5.0153229

Published: July 2023

View article titled, Exploring nonlinear dynamics and network structures in Kuramoto systems using machine learning approaches

Journal Articles

Synchronization transitions in Kuramoto networks with higher-mode interaction

Rico Berner, Annie Lu, Igor M. Sokolov

Chaos 33, 073138 (2023)

https://doi.org/10.1063/5.0151038

Published: July 2023

View article titled, Synchronization transitions in Kuramoto networks with higher-mode interaction

Journal Articles

The synchronizing role of multiplexing noise: Exploring Kuramoto oscillators and breathing chimeras

Ewan T. Phillips

Chaos 33, 073140 (2023)

https://doi.org/10.1063/5.0135528

Published: July 2023

View article titled, The synchronizing role of multiplexing noise: Exploring Kuramoto oscillators and breathing chimeras

Journal Articles

Promoting synchrony of power grids by restructuring network topologies

Xuefeng Li, Wenjie Wei, Zhigang Zheng

Chaos 33, 063149 (2023)

https://doi.org/10.1063/5.0147771

Published: June 2023

View article titled, Promoting synchrony of power grids by restructuring network topologies

Journal Articles

Sensitive dynamics of brain cognitive networks and its resource constraints

Dehua Chen, Zhiyin Yang, Qin Xiao, Zonghua Liu

Chaos 33, 063139 (2023)

https://doi.org/10.1063/5.0145734

Published: June 2023

View article titled, Sensitive dynamics of brain cognitive networks and its resource constraints

Journal Articles

Tiered synchronization in Kuramoto oscillators with adaptive higher-order interactions

Priyanka Rajwani, Ayushi Suman, Sarika Jalan

Chaos 33, 061102 (2023)

https://doi.org/10.1063/5.0150125

Published: June 2023

View article titled, Tiered synchronization in Kuramoto oscillators with adaptive higher-order interactions

Journal Articles

Short-lived chimera states

Ling-Wei Kong, Ying-Cheng Lai

Chaos 33, 063127 (2023)

https://doi.org/10.1063/5.0145573

Published: June 2023

View article titled, Short-lived chimera states

Journal Articles

Complex dynamics in adaptive phase oscillator networks

Benjamin Jüttner, Erik A. Martens

Chaos 33, 053106 (2023)

https://doi.org/10.1063/5.0133190

Published: May 2023

View article titled, Complex dynamics in adaptive phase oscillator networks

NARROW

Topics

Stability of Kuramoto networks subject to large and small fluctuations from heterogeneous and spatially correlated noise

Stable chimera states: A geometric singular perturbation approach

Circular cumulant reductions for macroscopic dynamics of oscillator populations with non-Gaussian noise

Composed solutions of synchronized patterns in multiplex networks of Kuramoto oscillators

High-order phase reduction for coupled 2D oscillators

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

On the number of stable solutions in the Kuramoto model

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

Desynchronizing oscillators coupled in multi-cluster networks through adaptively controlling partial networks

Synchronization transitions and sensitivity to asymmetry in the bimodal Kuramoto systems with Cauchy noise

Chimeras in phase oscillator networks locally coupled through an auxiliary field: Stability and bifurcations

Framework for global stability analysis of dynamical systems

Exploring nonlinear dynamics and network structures in Kuramoto systems using machine learning approaches

Synchronization transitions in Kuramoto networks with higher-mode interaction

The synchronizing role of multiplexing noise: Exploring Kuramoto oscillators and breathing chimeras

Promoting synchrony of power grids by restructuring network topologies

Sensitive dynamics of brain cognitive networks and its resource constraints

Tiered synchronization in Kuramoto oscillators with adaptive higher-order interactions

Short-lived chimera states

Complex dynamics in adaptive phase oscillator networks

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