2024
DOI: 10.1088/1361-6544/ad4ade
|View full text |Cite
|
Sign up to set email alerts
|

Consistent spectral approximation of Koopman operators using resolvent compactification

Dimitrios Giannakis,
Claire Valva

Abstract: Koopman operators and transfer operators represent dynamical systems through their induced linear action on vector spaces of observables, enabling the use of operator-theoretic techniques to analyze nonlinear dynamics in state space. The extraction of approximate Koopman or transfer operator eigenfunctions (and the associated eigenvalues) from an unknown system is nontrivial, particularly if the system has mixed or continuous spectrum. In this paper, we describe a spectrally accurate approach to approximate th… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

0
0
0

Year Published

2024
2024
2024
2024

Publication Types

Select...
1

Relationship

0
1

Authors

Journals

citations
Cited by 1 publication
references
References 77 publications
0
0
0
Order By: Relevance