Detecting isolated spectrum of transfer and Koopman operators with Fourier analytic tools
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Publication:2513917
DOI10.3934/jcd.2014.1.249zbMath1346.37066OpenAlexW2037558275MaRDI QIDQ2513917
Cecilia González-Tokman, Gary Froyland, Anthony N. Quas
Publication date: 29 January 2015
Published in: Journal of Computational Dynamics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/jcd.2014.1.249
Spectrum, resolvent (47A10) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)
Related Items (13)
A trajectory-free framework for analysing multiscale systems ⋮ Stability of hyperbolic Oseledets splittings for quasi-compact operator cocycles ⋮ Stochastic Stability of Lyapunov Exponents and Oseledets Splittings for Semi‐invertible Matrix Cocycles ⋮ Modern Koopman Theory for Dynamical Systems ⋮ Dynamic mode decomposition for analytic maps ⋮ Fourier approximation of the statistical properties of Anosov maps on tori ⋮ Koopman operator framework for time series modeling and analysis ⋮ Reproducing kernel Hilbert space compactification of unitary evolution groups ⋮ Dynamic mode decomposition for continuous time systems with the Liouville operator ⋮ Delay-coordinate maps and the spectra of Koopman operators ⋮ Multiplicative ergodic theorems for transfer operators: Towards the identification and analysis of coherent structures in non-autonomous dynamical systems ⋮ Data-driven spectral decomposition and forecasting of ergodic dynamical systems ⋮ Estimating long-term behavior of periodically driven flows without trajectory integration
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