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We study numerical approaches to computation of spectral properties of composition operators.
Hamiltonian systems and transformation in Hilbert space
B.O. Koopman · 1931
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Zur operatorenmethode in der klassischen mechanik
J v Neumann · 1932
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Spectral operators
Nelson Dunford · 1954
Earlier work this paper cites.
Ergodic Problems of Classical Mechanics, 1968
Vladimir Igorevich Arnold and André Avez · 1968
Earlier work this paper cites.
Spectrum of a composition operator
William C Ridge · 1973
Earlier work this paper cites.
Detecting strange attractors in turbulence
Floris Takens · 1981
Earlier work this paper cites.
Composition operators on function spaces
Raj Kishor Singh and Jasbir Singh Manhas · 1993
Earlier work this paper cites.
Chaos, Fractals and Noise
A. Lasota and M. C. Mackey · 1994
Earlier work this paper cites.
Ergodic Theory
K. Petersen · 1995
Earlier work this paper cites.
The rate of convergence in ergodic theorems
Alexander Grigoryevich Kachurovskii · 1996
Earlier work this paper cites.
Unique ergodicity and the approximation of attractors and their invariant measures using Ulam’s method
Fern Y Hunt · 1998
Earlier work this paper cites.
Comparison of systems with complex behavior: Spectral methods
Igor Mezić and Andrzej Banaszuk · 2000
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Comparison of systems with complex behavior
I. Mezić and A. Banaszuk · 2004
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Spectral properties of dynamical systems, model reduction and decompositions
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C.W. Rowley, I. Mezić, S. Bagheri, P. Schlatter, and D.S. Henningson · 2009
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Infinite-dimensional numerical linear algebra: theory and applications
Anders C Hansen · 2010
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Dynamic mode decomposition of numerical and experimental data
Peter J Schmid · 2010
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An introduction to Banach space theory
Robert E Megginson · 2012
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A Prony approximation of Koopman mode decomposition
Yoshihiko Susuki and Igor Mezi c · 2015
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On the numerical approximation of the Perron-Frobenius and Koopman operator, 2016
Stefan Klus · 2016
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How bad are Vandermonde matrices?
Victor Y Pan · 2016
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Ergodic theory, dynamic mode decomposition, and computation of spectral properties of the Koopman operator
Hassan Arbabi and Igor Mezic · 2017
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On the computation of isostables, isochrons and other spectral objects of the Koopman operator using the dynamic mode decomposition
Igor Mezic and Hassan Arbabi · 2017
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Basic matrix perturbation theory
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