Summary

International Symposium on Nonlinear Theory and Its Applications

2022

Session Number:A5L-B

Session:

Number:A5L-B-03

Sparsity Structures for Koopman Operators

Corbinian Schlosser ,   Milan Korda,  

pp.161-161

Publication Date:12/12/2022

Online ISSN:2188-5079

DOI:10.34385/proc.71.A5L-B-03

PDF download (324.2KB)

Summary:
Sparse structures of dynamical systems induce decompositions of the Koopman and Perron-Frobenius operator. This is particularly the case for eigenfunctions and eigenmeasures for these operators. We extend such a result for invariant measures and illustrate at a numerical example how dynamic mode decomposition can benefit from exploiting sparsity.