Koopman Operator Family Spectrum for Nonautonomous Systems

DOI10.1137/17M1133610zbMath1403.37092OpenAlexW2898623516WikidataQ129015690 ScholiaQ129015690MaRDI QIDQ4562415

Igor Mezić, Senka Maćešić, Nelida Črnjarić-Žic

Publication date: 20 December 2018

Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/17m1133610

zbMATH Keywords

hybrid systemsnonautonomous dynamical systemsdata-driven algorithmcontinuous time dependencyKoopman operator family

Mathematics Subject Classification ID

Linear composition operators (47B33) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Topological dynamics of nonautonomous systems (37B55) Approximation methods and numerical treatment of dynamical systems (37M99)

Related Items

Model and data reduction for data assimilation: particle filters employing projected forecasts and data with application to a shallow water model, Discriminant Dynamic Mode Decomposition for Labeled Spatiotemporal Data Collections, Modern Koopman Theory for Dynamical Systems, On data-driven computation of information transfer for causal inference in discrete-time dynamical systems, On the Koopman Operator of Algorithms, An incremental approach to online dynamic mode decomposition for time-varying systems with applications to EEG data modeling, Time Series Source Separation Using Dynamic Mode Decomposition, Koopman operator spectrum for random dynamical systems, On robust computation of Koopman operator and prediction in random dynamical systems, Spectrum of the Koopman operator, spectral expansions in functional spaces, and state-space geometry, Online Dynamic Mode Decomposition for Time-Varying Systems, On Koopman mode decomposition and tensor component analysis, Data-driven reduced-order modeling for nonautonomous dynamical systems in multiscale media

Uses Software

• odmd

Cites Work

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