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 …
[图书][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 …
Deeptime: a Python library for machine learning dynamical models from time series data
M Hoffmann, M Scherer, T Hempel… - Machine Learning …, 2021 - iopscience.iop.org
Generation and analysis of time-series data is relevant to many quantitative fields ranging
from economics to fluid mechanics. In the physical sciences, structures such as metastable …
from economics to fluid mechanics. In the physical sciences, structures such as metastable …
Time-delay observables for Koopman: Theory and applications
Nonlinear dynamical systems are ubiquitous in science and engineering, yet analysis and
prediction of these systems remains a challenge. Koopman operator theory circumvents …
prediction of these systems remains a challenge. Koopman operator theory circumvents …
On the experimental, numerical and data-driven methods to study urban flows
Understanding the flow in urban environments is an increasingly relevant problem due to its
significant impact on air quality and thermal effects in cities worldwide. In this review we …
significant impact on air quality and thermal effects in cities worldwide. In this review we …
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 …
Challenges in dynamic mode decomposition
Dynamic mode decomposition (DMD) is a powerful tool for extracting spatial and temporal
patterns from multi-dimensional time series, and it has been used successfully in a wide …
patterns from multi-dimensional time series, and it has been used successfully in a wide …
[图书][B] Higher order dynamic mode decomposition and its applications
JM Vega, S Le Clainche - 2020 - books.google.com
Higher Order Dynamic Mode Decomposition and Its Applications provides detailed
background theory, as well as several fully explained applications from a range of industrial …
background theory, as well as several fully explained applications from a range of industrial …
Dynamic mode decomposition for compressive system identification
Dynamic mode decomposition has emerged as a leading technique to identify
spatiotemporal coherent structures from high-dimensional data, benefiting from a strong …
spatiotemporal coherent structures from high-dimensional data, benefiting from a strong …
On numerical approximations of the Koopman operator
I Mezić - Mathematics, 2022 - mdpi.com
We study numerical approaches to computation of spectral properties of composition
operators. We provide a characterization of Koopman Modes in Banach spaces using …
operators. We provide a characterization of Koopman Modes in Banach spaces using …