Figure 1

Schematic diagram of DMDs. (a) Using obtained data, for exact DMD (a basic DMD), we create data matrices. For Hankel DMD, we first create Hankel matrices, and concatenate the Hankel matrices. We indicate two Hankel DMDs: row-type and column-type. For these three DMDs, the following computation to obtain DMD eigenvalues is the same (regarding companion-matrix DMD and computation of DMD modes for these DMDs, see Background of basic DMDs and Hankel DMDs). (b) Diagram of input and output of exact DMD. DMDs decompose obtained data sequences into spatial coefficients and time dynamics. For other DMDs, the diagrams are different: see the main text.