Statements (50)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:logic
|
| gptkbp:appliesTo |
nonlinear dynamical systems
|
| gptkbp:describes |
evolution of observables in dynamical systems
|
| gptkbp:enables |
linear representation of nonlinear systems
|
| gptkbp:field |
dynamical systems
functional analysis |
| gptkbp:form |
gptkb:Hilbert_space
spectral decomposition |
| gptkbp:hasApplication |
gptkb:statistical_mechanics
chemical kinetics climate science epidemiology finance neuroscience quantum mechanics robotics transport phenomena pattern recognition power systems biological systems chaotic systems population dynamics fault detection forecasting system identification system monitoring system diagnostics time-series analysis network dynamics signal denoising reduced-order modeling control design turbulence analysis |
| gptkbp:hasConcept |
gptkb:Koopman_operator
Koopman eigenfunctions Koopman modes |
| https://www.w3.org/2000/01/rdf-schema#label |
Koopman operator theory
|
| gptkbp:introducedIn |
1931
|
| gptkbp:namedAfter |
gptkb:B.O._Koopman
|
| gptkbp:relatedTo |
gptkb:Perron–Frobenius_operator
ergodic theory spectral theory |
| gptkbp:usedIn |
gptkb:machine_learning
gptkb:signal_processing control theory fluid dynamics data-driven analysis |
| gptkbp:uses |
infinite-dimensional linear operators
|
| gptkbp:bfsParent |
gptkb:Koopman_mode_decomposition
|
| gptkbp:bfsLayer |
8
|