How can DMD be used as a tool for exploring and understanding the behavior of complex systems across different disciplines?

The presence of cyclic expansions and contractions in the economy has been known for over a century. The work reported here searches for similar cyclic ... Oct 5, 2024 ... Keyword(s): Dynamic Mode Decomposition, Flow modeling and control, Convex optimization, Sparsity. [bibtex-entry]. Conference articles. E ... Jun 19, 2019 ... ... method for modeling dynamical systems called the Dynamic Mode Decomposition (DMD). This is a recent method that has first emerged in the ... The Dynamic Mode Decomposition (DMD) method is adopted to understand and explain the phenomenon. DMD is a mathematical method to extract and represent the ... We propose a modal decomposition algorithm to perform the analysis using finite-length data sequences generated from a nonlinear system. Jun 5, 2015 ... We will show that this approach is, in effect, an extension of dynamic mode decomposition (DMD), which has been used to approximate the Koopman ... A spatio-temporal method based on Robust Three-stage Dynamic Mode Decomposition (RTDMD) is proposed to improve the modal parameter estimation of ... Feb 13, 2025 ... Based on simple least-square regression, the underlying dynamic mode decomposition algorithm can be used to construct a low-rank subspace ... Jul 9, 2014 ... ... dynamic modes' and to the decomposition technique as the 'dynamic mode decomposition'. This technique is at the basis of a Koopman analysis ... Jan 30, 2016 ... DMD is a modal decomposition algorithm that describes high-dimensional dynamic data using coupled spatial–temporal modes.