Citing Articles For: Data-driven discovery and extrapolation of parameterized pattern-forming dynamics

Beyond empirical models: Discovering constitutive laws in solids with graph-based equation discovery

Hao Xu, Yuntian Chen, and Dongxiao Zhang

Sci. Adv. 12 eaec0989 (2026)

Data-driven stochastic reduced-order modelling of parametrized dynamical systems

Andrew F. Ilersich, Kevin Course, and Prasanth B. Nair

Proceedings of the Royal Society A Mathematical Physical and Engineering Science 482 20251046 (2026)

Enhancing generalizability of model discovery across parameter space with multi-experiment equation learning for biological systems

Maria-Veronica Ciocanel, John T. Nardini, Kevin B. Flores, Erica M. Rutter, Suzanne S. Sindi, Alexandria Volkening, and Alejandro F. Villaverde

PLoS Comput Biol 22 e1014161 (2026)

Data-driven discovery of a new Ginzburg-Landau reduced-order model for vortex shedding

Joseph J. Williams, Zachary G. Nicolaou, J. Nathan Kutz, and Steven L. Brunton

Phys. Rev. Fluids 11 034401 (2026)

Variational integration for robust data-driven inference of noisy and unstable dynamical systems

Zhiqi Zhang and Pei Wang

Nonlinear Dyn 114 1208 (2026)

How AI Can Advance Mathematical Biology: Opportunities, Challenges, and Future Directions

Kobra Rabiei, Grzegorz A. Rempala, Reinhard Laubenbacher, and Wenrui Hao

Bull Math Biol 88 175 (2026)

Data-driven discovery of digital twins in biomedical research

Clémence Métayer, Annabelle Ballesta, and Julien Martinelli

Briefings in Bioinformatics 27 bbaf722 (2026)

Dictionary‐based weak‐form training for noise‐robust series hybrid models with multiplicative unknowns

Hangjun Cho, Akshay Kudva, Parth Shah, Dongheon Lee, and Joseph Sang‐Il Kwon

AIChE Journal 72 e70419 (2026)

Sparse, interpretable, and parsimonious reduced-order modeling of hydrodynamic forces in undulating swimmers

Ahmad Saeed and Hamid Saeed

Physics of Fluids 37 121904 (2025)

Statistical mechanics of dynamical system identification

Andrei A. Klishin, Joseph Bakarji, J. Nathan Kutz, and Krithika Manohar

Phys. Rev. Research 7 033181 (2025)

Multi-objective SINDy for parameterized model discovery from single transient trajectory data

Javier Lemus and Benjamin Herrmann

Nonlinear Dyn 113 10911 (2025)

Shallow recurrent decoder for reduced order modeling of E × B plasma dynamics

Farbod Faraji, Maryam Reza, and J Nathan Kutz

Mach. Learn.: Sci. Technol. 6 025024 (2025)

System Identification with SINDy Neural Networks for Transistor Modeling

Martin Steiger and Hans-Georg Brachtendorf

IFAC-PapersOnLine 59 427 (2025)

Sparse Identification for bifurcating phenomena in Computational Fluid Dynamics

Lorenzo Tomada, Moaad Khamlich, Federico Pichi, and Gianluigi Rozza

Computers & Fluids 302 106841 (2025)

How more data can hurt: Instability and regularization in next-generation reservoir computing

Yuanzhao Zhang, Edmilson Roque dos Santos, Huixin Zhang, and Sean P. Cornelius

Chaos: An Interdisciplinary Journal of Nonlinear Science 35 073102 (2025)

Learning locally dominant force balances in active particle systems

Dominik Sturm, Suryanarayana Maddu, and Ivo F. Sbalzarini

Proc. R. Soc. A. 480 20230532 (2024)

Principal component analysis of absorbing state phase transitions

Cristiano Muzzi, Ronald Santiago Cortes, Devendra Singh Bhakuni, Asja Jelić, Andrea Gambassi, Marcello Dalmonte, and Roberto Verdel

Phys. Rev. E 110 064121 (2024)

Complete inverse design to customize two-dimensional dispersion relation via nonlocal phononic crystals

Sharat Paul, Md Nahid Hasan, Henry Chien Fu, and Pai Wang

Phys. Rev. B 110 144304 (2024)

Weak-form inference for hybrid dynamical systems in ecology

Daniel Messenger, Greg Dwyer, and Vanja Dukic

J. R. Soc. Interface. 21 20240376 (2024)

Weak-form latent space dynamics identification

April Tran, Xiaolong He, Daniel A. Messenger, Youngsoo Choi, and David M. Bortz

Computer Methods in Applied Mechanics and Engineering 427 116998 (2024)

Parameter inference from a non-stationary unknown process

Kieran S. Owens and Ben D. Fulcher

Chaos: An Interdisciplinary Journal of Nonlinear Science 34 101501 (2024)

When patterns come to life

Zachary G. Nicolaou

Physics of Life Reviews 47 108 (2023)

Learning Governing Equations and Control Parameters from Data

Dina Genkina

Physics 16 188 (2023)

Benchmarking sparse system identification with low-dimensional chaos

Alan A. Kaptanoglu, Lanyue Zhang, Zachary G. Nicolaou, Urban Fasel, and Steven L. Brunton

Nonlinear Dyn 111 13143 (2023)

Direct Estimation of Parameters in ODE Models Using WENDy: Weak-Form Estimation of Nonlinear Dynamics

David M. Bortz, Daniel A. Messenger, and Vanja Dukic

Bull Math Biol 85 110 (2023)

Select page:

Physical Review Research

Filter

Articles Citing

Data-driven discovery and extrapolation of parameterized pattern-forming dynamics

Beyond empirical models: Discovering constitutive laws in solids with graph-based equation discovery

Data-driven stochastic reduced-order modelling of parametrized dynamical systems

Enhancing generalizability of model discovery across parameter space with multi-experiment equation learning for biological systems

Data-driven discovery of a new Ginzburg-Landau reduced-order model for vortex shedding

Variational integration for robust data-driven inference of noisy and unstable dynamical systems

How AI Can Advance Mathematical Biology: Opportunities, Challenges, and Future Directions

Data-driven discovery of digital twins in biomedical research

Dictionary‐based weak‐form training for noise‐robust series hybrid models with multiplicative unknowns

Sparse, interpretable, and parsimonious reduced-order modeling of hydrodynamic forces in undulating swimmers

Statistical mechanics of dynamical system identification

Multi-objective SINDy for parameterized model discovery from single transient trajectory data

Shallow recurrent decoder for reduced order modeling of E × B plasma dynamics

System Identification with SINDy Neural Networks for Transistor Modeling

Sparse Identification for bifurcating phenomena in Computational Fluid Dynamics

How more data can hurt: Instability and regularization in next-generation reservoir computing

Learning locally dominant force balances in active particle systems

Principal component analysis of absorbing state phase transitions

Complete inverse design to customize two-dimensional dispersion relation via nonlocal phononic crystals

Weak-form inference for hybrid dynamical systems in ecology

Weak-form latent space dynamics identification

Parameter inference from a non-stationary unknown process

When patterns come to life

Learning Governing Equations and Control Parameters from Data

Benchmarking sparse system identification with low-dimensional chaos

Direct Estimation of Parameters in ODE Models Using WENDy: Weak-Form Estimation of Nonlinear Dynamics

Filter

Filter

Article Lookup

Enter a citation