Extraction and prediction of coherent patterns in incompressible flows through space-time koopman analysis

DOI10.1016/j.physd.2019.132211zbMath1453.76179arXiv1706.06450OpenAlexW2635039932WikidataQ127181729 ScholiaQ127181729MaRDI QIDQ2222732

Suddhasattwa Das, Dimitrios Giannakis

Publication date: 27 January 2021

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.06450

zbMATH Keywords

kernel methodsdiffusion mapsLagrangian coherent structuresPerron-Frobenius operatorsKoopman operatorsnonparametric prediction

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Stochastic analysis applied to problems in fluid mechanics (76M35) Eigenvalue problems for linear operators (47A75) Dynamical systems and their relations with probability theory and stochastic processes (37A50) Special approximation methods (nonlinear Galerkin, etc.) for infinite-dimensional dissipative dynamical systems (37L65)

Related Items (8)

Lie group valued Koopman eigenfunctions ⋮ Modern Koopman Theory for Dynamical Systems ⋮ Detecting the birth and death of finite‐time coherent sets ⋮ Invariant Sets in Quasiperiodically Forced Dynamical Systems ⋮ Reproducing kernel Hilbert space compactification of unitary evolution groups ⋮ Computation and Optimal Perturbation of Finite-Time Coherent Sets for Aperiodic Flows Without Trajectory Integration ⋮ Dynamic mode decomposition for continuous time systems with the Liouville operator ⋮ Delay-coordinate maps and the spectra of Koopman operators

Uses Software

• ARPACK

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