Modern Koopman theory for dynamical systems
The field of dynamical systems is being transformed by the mathematical tools and
algorithms emerging from modern computing and data science. First-principles derivations …
algorithms emerging from modern computing and data science. First-principles derivations …
[BOOK][B] Data-driven science and engineering: Machine learning, dynamical systems, and control
SL Brunton, JN Kutz - 2022 - books.google.com
Data-driven discovery is revolutionizing how we model, predict, and control complex
systems. Now with Python and MATLAB®, this textbook trains mathematical scientists and …
systems. Now with Python and MATLAB®, this textbook trains mathematical scientists and …
[BOOK][B] Dynamic mode decomposition: data-driven modeling of complex systems
The integration of data and scientific computation is driving a paradigm shift across the
engineering, natural, and physical sciences. Indeed, there exists an unprecedented …
engineering, natural, and physical sciences. Indeed, there exists an unprecedented …
Randomized dynamic mode decomposition
This paper presents a randomized algorithm for computing the near-optimal low-rank
dynamic mode decomposition (DMD). Randomized algorithms are emerging techniques to …
dynamic mode decomposition (DMD). Randomized algorithms are emerging techniques to …
Best practice guidelines for the dynamic mode decomposition from a wind engineering perspective
This paper distills the serial work of Li et al., 2020a, Li et al., 2021, Li et al., 2022a, Li et al.,
2022b, Li et al., 2022c, Li et al., 2023a, Li et al., 2023b into a practice guide for the Dynamic …
2022b, Li et al., 2022c, Li et al., 2023a, Li et al., 2023b into a practice guide for the Dynamic …
The linear-time-invariance notion to the Koopman analysis: The architecture, pedagogical rendering, and fluid–structure association
This work augments a Linear-Time-Invariance (LTI) notion to the Koopman analysis, finding
an invariant subspace on which consistent Koopman modes are expanded with fluid …
an invariant subspace on which consistent Koopman modes are expanded with fluid …
Oscillatory flow around a vertical wall-mounted cylinder: Dynamic mode decomposition
This study applies the Dynamic Mode Decomposition (DMD) to better understand and model
the oscillatory flow across a vertical wall-mounted cylinder. At different Keulegan–Carpenter …
the oscillatory flow across a vertical wall-mounted cylinder. At different Keulegan–Carpenter …
Stabilization of a multi-frequency open cavity flow with gradient-enriched machine learning control
We stabilize an open cavity flow experiment to 1% of its original fluctuation level. For the first
time, a multi-modal feedback control is automatically learned for this configuration. The key …
time, a multi-modal feedback control is automatically learned for this configuration. The key …
Active control of pressure fluctuations in an incompressible turbulent cavity flow
JN Choi, JH Lee - Aerospace Science and Technology, 2023 - Elsevier
Large-eddy simulations of incompressible turbulent boundary layer flows over an open
cavity are conducted to investigate the effects of wall-normal steady blowing on the …
cavity are conducted to investigate the effects of wall-normal steady blowing on the …
Numerical study on self-excited forces and flow fields for a thin plate under a sinusoidal non-stationary wind condition
The self-excited forces and flow fields around a thin plate under stationary and sinusoidal
non-stationary wind conditions were simulated using the computational fluid dynamics …
non-stationary wind conditions were simulated using the computational fluid dynamics …