Results 281 to 290 of about 287,879 (312)

Dynamic mode decomposition with memory

Physical Review E, 2023
This study proposed a numerical method of dynamic mode decomposition with memory (DMDm) to analyze multidimensional time-series data with memory effects. The memory effect is a widely observed phenomenon in physics and engineering and is considered to be the result of interactions between the system and environment.
Ryoji, Anzaki   +4 more
openaire   +2 more sources

Wavelet‐based dynamic mode decomposition

PAMM, 2021
AbstractDynamic mode decomposition (DMD) has emerged as a leading data‐driven technique to identify the spatio‐temporal coherent structure in dynamical systems, owing to its strong relation with the Koopman operator. For dynamical systems with external forcing, the identified model should not only be suitable for a specific forcing function but should ...
Manu Krishnan   +2 more
openaire   +1 more source

Symbolic extended dynamic mode decomposition

Chaos: An Interdisciplinary Journal of Nonlinear Science
In this paper, we present a new method of performing extended dynamic mode decomposition (EDMD) on systems, which admit a symbolic representation. EDMD generates estimates of the Koopman operator, K, for a dynamical system by defining a dictionary of observables on the space and producing an estimate, Km, which is restricted to be invariant on the span
Connor Kennedy   +2 more
openaire   +3 more sources

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