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Journal Articles

Parameter estimation of stochastic SEIR epidemic model using particle MCMC

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Chang Zhou, Zhiming Li
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 35, 053139 (2025)
https://doi.org/10.1063/5.0264087
Published: May 2025
View articletitled, Parameter estimation of stochastic SEIR epidemic model using particle MCMC
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Journal Articles

Exponential stability for a forecast-assimilation process with unstable dynamics

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Dan Crisan, Michael Ghil, Rohan Nuckchady
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 35, 053133 (2025)
https://doi.org/10.1063/5.0241166
Published: May 2025
View articletitled, Exponential stability for a forecast-assimilation process with unstable dynamics
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Journal Articles

Exploring localization in nonlinear oscillator systems through network-based predictions

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Charlotte Geier, Norbert Hoffmann
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 35, 053126 (2025)
https://doi.org/10.1063/5.0265366
Published: May 2025
View articletitled, Exploring localization in nonlinear oscillator systems through network-based predictions
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Journal Articles

Optimal calculations for the space–time fractional derivative option pricing models with stochastic liquidity risk and volatility using a combination neural network

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Lina Song, Yangcheng Luo, Xueting Yan, Shuqi Zhang
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 35, 053113 (2025)
https://doi.org/10.1063/5.0263909
Published: May 2025
View articletitled, Optimal calculations for the space–time fractional derivative option pricing models with stochastic liquidity risk and volatility using a combination neural network
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Journal Articles

Reservoir computing with the minimum description length principle

Editor’s PickOpen Access
Antony Mizzi, Michael Small, David M. Walker
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 35, 043132 (2025)
https://doi.org/10.1063/5.0252938
Published: April 2025
View articletitled, Reservoir computing with the minimum description length principle
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Journal Articles

Machine learning for complex systems with abnormal pattern by exception maximization outlier detection

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Zhikun Zhang, Yiting Duan, Xiangjun Wang, Mingyuan Zhang
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 35, 043126 (2025)
https://doi.org/10.1063/5.0250852
Published: April 2025
View articletitled, Machine learning for complex systems with abnormal pattern by exception maximization outlier detection
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Journal Articles

Inferring kernel ϵ -machines: Discovering structure in complex systems

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Alexandra M. Jurgens, Nicolas Brodu
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 35, 033162 (2025)
https://doi.org/10.1063/5.0242981
Published: March 2025
View articletitled, Inferring kernel ϵ -machines: Discovering structure in complex systems
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Journal Articles

Generalizing geometric partition entropy for the estimation of mutual information in the presence of informative outliers

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C. Tyler Diggans, Abd AlRahman R. AlMomani
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 35, 033141 (2025)
https://doi.org/10.1063/5.0247397
Published: March 2025
View articletitled, Generalizing geometric partition entropy for the estimation of mutual information in the presence of informative outliers
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Journal Articles

Spectrally informed learning of fluid flows

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Benjamin D. Shaffer, Jeremy R. Vorenberg, M. Ani Hsieh
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 35, 033126 (2025)
https://doi.org/10.1063/5.0235257
Published: March 2025
View articletitled, Spectrally informed learning of fluid flows
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Journal Articles

Improving forecasts of imperfect models using piecewise stochastic processes

Editor’s PickOpen Access
M. Dyson, T. Stemler
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 35, 023142 (2025)
https://doi.org/10.1063/5.0242061
Published: February 2025
View articletitled, Improving forecasts of imperfect models using piecewise stochastic processes
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Journal Articles

Random P-bifurcation in a Duffing–van der Pol vibro-impact system with a Bingham model

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Zijian Kan, Jun Wang, Jianchao Zhang, Jiangchuan Niu
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 35, 023127 (2025)
https://doi.org/10.1063/5.0246296
Published: February 2025
View articletitled, Random P-bifurcation in a Duffing–van der Pol vibro-impact system with a Bingham model
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Journal Articles

Reconstructing attractors with autoencoders

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F. Fainstein, G. B. Mindlin, P. Groisman
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 35, 013101 (2025)
https://doi.org/10.1063/5.0232584
Published: January 2025
View articletitled, Reconstructing attractors with autoencoders
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Journal Articles

Directed recurrence networks for the analysis of nonlinear and complex dynamical systems

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Rémi Delage, Toshihiko Nakata
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 35, 013107 (2025)
https://doi.org/10.1063/5.0235311
Published: January 2025
View articletitled, Directed recurrence networks for the analysis of nonlinear and complex dynamical systems
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Journal Articles

Symbolic dynamics of joint brain states during dyadic coordination

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Italo Ivo Lima Dias Pinto, Zhibin Zhou, Javier Omar Garcia, Ramesh Srinivasan
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 35, 013110 (2025)
https://doi.org/10.1063/5.0234902
Published: January 2025
View articletitled, Symbolic dynamics of joint brain states during dyadic coordination
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Journal Articles

How neural networks work: Unraveling the mystery of randomized neural networks for functions and chaotic dynamical systems

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Erik Bollt
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 34, 123164 (2024)
https://doi.org/10.1063/5.0206840
Published: December 2024
View articletitled, How neural networks work: Unraveling the mystery of randomized neural networks for functions and chaotic dynamical systems
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Journal Articles

Detection of Parkinson’s disease using nocturnal breathing signals based on multifractal detrended fluctuation analysis

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Zhong Dai, Shutang Liu, Changan Liu
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 34, 123151 (2024)
https://doi.org/10.1063/5.0237878
Published: December 2024
View articletitled, Detection of Parkinson’s disease using nocturnal breathing signals based on multifractal detrended fluctuation analysis
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Journal Articles

Unsupervised data-driven response regime exploration and identification for dynamical systems

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Maor Farid
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 34, 123122 (2024)
https://doi.org/10.1063/5.0173938
Published: December 2024
View articletitled, Unsupervised data-driven response regime exploration and identification for dynamical systems
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Journal Articles

Score-driven exponential random graphs: A new class of time-varying parameter models for temporal networks

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D. Di Gangi, G. Bormetti, F. Lillo
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 34, 113101 (2024)
https://doi.org/10.1063/5.0222079
Published: November 2024
View articletitled, Score-driven exponential random graphs: A new class of time-varying parameter models for temporal networks
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Journal Articles

Identifying influential nodes in social networks from the perspective of attack–defense game

Editor’s PickAvailable to Purchase
Wen Hu, Ye Deng, Yu Xiao, Jun Wu
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 34, 111101 (2024)
https://doi.org/10.1063/5.0240052
Published: November 2024
View articletitled, Identifying influential nodes in social networks from the perspective of attack–defense game
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Journal Articles

Thoughtful data analysis

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Elizabeth Bradley, James W. C. White, Joshua Garland
Journal: Chaos: An Interdisciplinary Journal of Nonlinear Science
Chaos 34, 101502 (2024)
https://doi.org/10.1063/5.0230739
Published: October 2024
View articletitled, Thoughtful data analysis
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