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Time-Delay Observables for Koopman: Theory and Applications
[article]
2020
arXiv
pre-print
Nonlinear dynamical systems are ubiquitous in science and engineering, yet analysis and prediction of these systems remains a challenge. Koopman operator theory circumvents some of these issues by considering the dynamics in the space of observable functions on the state, in which the dynamics are intrinsically linear and thus amenable to standard techniques from numerical analysis and linear algebra. However, practical issues remain with this approach, as the space of observables is
arXiv:1810.01479v2
fatcat:atbg2kvl5fa33pt26hzcp2obxa