Gyurhan H. Nedzhibov†
Abstract: Dynamic mode decomposition is a relatively recent development in the eld of modal decompositions, however, it is a commonly used technique for analyzing the dynamics of nonlinear systems. Its success is due to the fact that it is an equation-free, data-driven method capable of providing accurate assessments of the spatiotemporal coherent structures in a complex system, or short-time future estimates. The aim of this work is to present a new approach for computing the dynamic mode decomposition. We show that our algorithm is closely related to the currently accepted algorithm. In fact, the two approaches produce the same DMD eigenvalues, it is only the DMD modes that di er. We demonstrate the new approach on two examples model systems.
MSC: 65P02, 37M02, 37L65
DOI 10.56082/annalsarscimath.2022.1-2.5
†g.nedzhibov@shu.bg Faculty of Mathematics and Informatics, Shumen University, Shumen 9700, Bulgaria; Paper written with financial support of Shumen University under Grant RD-08-75/27.01.2021.
PUBLISHED in Annals Academy of Romanian Scientists Series on Mathematics and Its Application, Volume 14 no 1-2, 2022
