Convergence properties of dynamic mode decomposition for analytic interval maps

Autor:	Akindji, Elliz, Slipantschuk, Julia, Bandtlow, Oscar F., Just, Wolfram
Rok vydání:	2024
Předmět:	Mathematics - Dynamical Systems 37C30 (Primary) 37E05 (Secondary) 37M10 37M25 47A58
Druh dokumentu:	Working Paper
Popis:	Extended dynamic mode decomposition (EDMD) is a data-driven algorithm for approximating spectral data of the Koopman operator associated to a dynamical system, combining a Galerkin method of order N and collocation method of order M. Spectral convergence of this method subtly depends on appropriate choice of the space of observables. For chaotic analytic full branch maps of the interval, we derive a constraint between M and N guaranteeing spectral convergence of EDMD. Comment: 24 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2404.08512 Zobrazit plný text záznamu View this record from Arxiv