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Journal Articles

Koopman learning with episodic memory

William T. Redman, Dean Huang, Maria Fonoberova, Igor Mezić

Chaos 35, 011102 (2025)

https://doi.org/10.1063/5.0245244

Published: January 2025

View article titled, Koopman learning with episodic memory

Journal Articles

Chaotic property in general fractional calculus

Anatoly N. Kochubei

Chaos 34, 123165 (2024)

https://doi.org/10.1063/5.0243475

Published: December 2024

View article titled, Chaotic property in general fractional calculus

Journal Articles

Identifying the onset and decay of quasi-stationary families of almost-invariant sets with an application to atmospheric blocking events

Aleksandar Badza, Gary Froyland

Chaos 34, 123153 (2024)

https://doi.org/10.1063/5.0225848

Published: December 2024

View article titled, Identifying the onset and decay of quasi-stationary families of almost-invariant sets with an application to atmospheric blocking events

Journal Articles

Symbolic extended dynamic mode decomposition

Connor Kennedy, John Kaushagen, Hong-Kun Zhang

Chaos 34, 093140 (2024)

https://doi.org/10.1063/5.0223615

Published: September 2024

View article titled, Symbolic extended dynamic mode decomposition

Journal Articles

Koopman analysis of the singularly perturbed van der Pol oscillator

Natsuki Katayama, Yoshihiko Susuki

Chaos 34, 093133 (2024)

https://doi.org/10.1063/5.0216779

Published: September 2024

View article titled, Koopman analysis of the singularly perturbed van der Pol oscillator

Journal Articles

Distributed Nash equilibrium seeking in noncooperative game with partial decision information of neighbors

Xin Jin, Kaihong Lu, Zhengxin Wang, Xiaojie Chen

Chaos 34, 063141 (2024)

https://doi.org/10.1063/5.0215214

Published: June 2024

View article titled, Distributed Nash equilibrium seeking in noncooperative game with partial decision information of neighbors

Journal Articles

The application of the “inverse problem” method for constructing confining potentials that make N-soliton waveforms exact solutions in the Gross–Pitaevskii equation

Fred Cooper, Avinash Khare, John F. Dawson, Efstathios G. Charalampidis, Avadh Saxena

Chaos 34, 043138 (2024)

https://doi.org/10.1063/5.0183167

Published: April 2024

View article titled, The application of the “inverse problem” method for constructing confining potentials that make <em>N</em>-soliton waveforms exact solutions in the Gross–Pitaevskii equation

Journal Articles

Learning transfer operators by kernel density estimation

Sudam Surasinghe, Jeremie Fish, Erik M. Bollt

Chaos 34, 023126 (2024)

https://doi.org/10.1063/5.0179937

Published: February 2024

View article titled, Learning transfer operators by kernel density estimation

Journal Articles

Dynamic mode decomposition for Koopman spectral analysis of elementary cellular automata

Keisuke Taga, Yuzuru Kato, Yoshihiro Yamazaki, Yoshinobu Kawahara, Hiroya Nakao

Chaos 34, 013125 (2024)

https://doi.org/10.1063/5.0159069

Published: January 2024

View article titled, Dynamic mode decomposition for Koopman spectral analysis of elementary cellular automata

Journal Articles

Chaotic finite difference operators

Marina Murillo-Arcila, Alfred Peris, Álvaro Vargas

Chaos 33, 093111 (2023)

https://doi.org/10.1063/5.0158038

Published: September 2023

View article titled, Chaotic finite difference operators

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

Bifurcation and stability of a diffusive predator–prey model with the fear effect and time delay

Huatao Wang, Yan Zhang, Li Ma

Chaos 33, 073137 (2023)

https://doi.org/10.1063/5.0157410

Published: July 2023

View article titled, Bifurcation and stability of a diffusive predator–prey model with the fear effect and time delay

Journal Articles

Topologically induced suppression of explosive synchronization

Manuel Miranda, Mattia Frasca, Ernesto Estrada

Chaos 33, 053103 (2023)

https://doi.org/10.1063/5.0142418

Published: May 2023

View article titled, Topologically induced suppression of explosive synchronization

Journal Articles

Koopman analysis of the periodic Korteweg–de Vries equation

Jeremy P. Parker, Claire Valva

Chaos 33, 043102 (2023)

https://doi.org/10.1063/5.0137088

Published: April 2023

View article titled, Koopman analysis of the periodic Korteweg–de Vries equation

Includes: Supplementary data

Journal Articles

Power-grid vulnerability and its relation with network structure

Jussara Dias, Arthur N. Montanari, Elbert E. N. Macau

Chaos 33, 033122 (2023)

https://doi.org/10.1063/5.0137919

Published: March 2023

View article titled, Power-grid vulnerability and its relation with network structure

Journal Articles

General iterated function systems: Hausdorff dimension

Manfred Denker

Chaos 33, 033118 (2023)

https://doi.org/10.1063/5.0136663

Published: March 2023

View article titled, General iterated function systems: Hausdorff dimension

Journal Articles

An optimization-based algorithm for obtaining an optimal synchronizable network after link addition or reduction

Fatemeh Parastesh, Sridevi Sriram, Hayder Natiq, Karthikeyan Rajagopal, Sajad Jafari

Chaos 33, 033103 (2023)

https://doi.org/10.1063/5.0134763

Published: March 2023

View article titled, An optimization-based algorithm for obtaining an optimal synchronizable network after link addition or reduction

Journal Articles

Existence and controllability for conformable fractional stochastic differential equations with infinite delay via measures of noncompactness

Jizhao Huang, Danfeng Luo

Chaos 33, 013120 (2023)

https://doi.org/10.1063/5.0125651

Published: January 2023

View article titled, Existence and controllability for conformable fractional stochastic differential equations with infinite delay via measures of noncompactness

Journal Articles

Koopman and Perron–Frobenius operators on reproducing kernel Banach spaces

Masahiro Ikeda, Isao Ishikawa, Corbinian Schlosser

Chaos 32, 123143 (2022)

https://doi.org/10.1063/5.0094889

Published: December 2022

View article titled, Koopman and Perron–Frobenius operators on reproducing kernel Banach spaces

Journal Articles

The spatiotemporal coupling in delay-coordinates dynamic mode decomposition

Emil Bronstein, Aviad Wiegner, Doron Shilo, Ronen Talmon

Chaos 32, 123127 (2022)

https://doi.org/10.1063/5.0123101

Published: December 2022

View article titled, The spatiotemporal coupling in delay-coordinates dynamic mode decomposition

NARROW

Topics

Koopman learning with episodic memory

Chaotic property in general fractional calculus

Identifying the onset and decay of quasi-stationary families of almost-invariant sets with an application to atmospheric blocking events

Symbolic extended dynamic mode decomposition

Koopman analysis of the singularly perturbed van der Pol oscillator

Distributed Nash equilibrium seeking in noncooperative game with partial decision information of neighbors

The application of the “inverse problem” method for constructing confining potentials that make N-soliton waveforms exact solutions in the Gross–Pitaevskii equation

Learning transfer operators by kernel density estimation

Dynamic mode decomposition for Koopman spectral analysis of elementary cellular automata

Chaotic finite difference operators

Machine learning enhanced Hankel dynamic-mode decomposition

Bifurcation and stability of a diffusive predator–prey model with the fear effect and time delay

Topologically induced suppression of explosive synchronization

Koopman analysis of the periodic Korteweg–de Vries equation

Power-grid vulnerability and its relation with network structure

General iterated function systems: Hausdorff dimension

An optimization-based algorithm for obtaining an optimal synchronizable network after link addition or reduction

Existence and controllability for conformable fractional stochastic differential equations with infinite delay via measures of noncompactness

Koopman and Perron–Frobenius operators on reproducing kernel Banach spaces

The spatiotemporal coupling in delay-coordinates dynamic mode decomposition

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