Geometric considerations of a good dictionary for Koopman analysis of dynamical systems: Cardinality, “primary eigenfunction,” and efficient representation
Author:
Funder
US Army Research Office
Publisher
Elsevier BV
Subject
Applied Mathematics,Modeling and Simulation,Numerical Analysis
Reference46 articles.
1. Data-driven analysis and forecasting of highway traffic dynamics;Avila;Nat Commun,2020
2. Functional analysis: an introduction for physicists;Boccara,1990
3. Controlling chaos and the inverse Frobenius–Perron problem: global stabilization of arbitrary invariant measures;Bollt;Int J Bifurc Chaos,2000
4. A manifold independent approach to understanding transport in stochastic dynamical systems;Bollt;Phys D,2002
5. On matching, and even rectifying, dynamical systems through Koopman operator eigenfunctions;Bollt;SIAM J Appl Dyn Syst,2018
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