Transition to turbulence in pipe flow
Since the seminal studies by Osborne Reynolds in the nineteenth century, pipe flow has
served as a primary prototype for investigating the transition to turbulence in wall-bounded …
served as a primary prototype for investigating the transition to turbulence in wall-bounded …
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 …
[HTML][HTML] Warning of a forthcoming collapse of the Atlantic meridional overturning circulation
P Ditlevsen, S Ditlevsen - Nature Communications, 2023 - nature.com
The Atlantic meridional overturning circulation (AMOC) is a major tipping element in the
climate system and a future collapse would have severe impacts on the climate in the North …
climate system and a future collapse would have severe impacts on the climate in the North …
A model based study on the dynamics of COVID-19: Prediction and control
As there is no vaccination and proper medicine for treatment, the recent pandemic caused
by COVID-19 has drawn attention to the strategies of quarantine and other governmental …
by COVID-19 has drawn attention to the strategies of quarantine and other governmental …
[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 …
Mesoscopic physics of nanomechanical systems
Nanomechanics has brought mesoscopic physics into the world of vibrations. Because
nanomechanical systems are small, fluctuations are significant, the vibrations already …
nanomechanical systems are small, fluctuations are significant, the vibrations already …
Adaptive dynamical networks
It is a fundamental challenge to understand how the function of a network is related to its
structural organization. Adaptive dynamical networks represent a broad class of systems that …
structural organization. Adaptive dynamical networks represent a broad class of systems that …
Deep learning for universal linear embeddings of nonlinear dynamics
Identifying coordinate transformations that make strongly nonlinear dynamics approximately
linear has the potential to enable nonlinear prediction, estimation, and control using linear …
linear has the potential to enable nonlinear prediction, estimation, and control using linear …
Data-driven modeling and prediction of non-linearizable dynamics via spectral submanifolds
We develop a methodology to construct low-dimensional predictive models from data sets
representing essentially nonlinear (or non-linearizable) dynamical systems with a hyperbolic …
representing essentially nonlinear (or non-linearizable) dynamical systems with a hyperbolic …