How can DMD be used for sensitivity analysis of dynamical systems?

... Dynamic mode decomposition of. nonequilibrium electron-phonon. dynamics: accelerating the. fi. rst-. principles real-time Boltzmann equation. Check for updates. Jul 25, 2016 ... The DMD converts a dynamical system into a superposition of modes whose dynamics are governed by eigenvalues. Jul 1, 2010 ... The extracted dynamic modes, which can be interpreted as a generalization of global stability modes, can be used to describe the underlying ... We develop an iterative approximation algorithm which couples the EDMD with a trainable dictionary represented by an artificial neural network. Feb 13, 2025 ... Based on simple least-square regression, the underlying dynamic mode decomposition algorithm can be used to construct a low-rank subspace ... Feb 6, 2015 ... ... dynamic mode decomposition of large datasets. The dymode package also includes dymodem, a Matlab implementation of the code which accepts ... In this paper, we propose subspace DMD as an algorithm for the Koopman analysis of random dynamical systems with observation noise. Spectral decomposition of the Koopman operator is attracting attention as a tool for the analysis of nonlinear dynamical systems. Dynamic mode decomposition. 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 ... Ryoji Takaki ... A new dynamic mode decomposition (DMD) method is introduced for simultaneous system identification and denoising in conjunction with the adoption ...