Koopman analysis of the long-term evolution in a turbulent convection cell
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Publication:4582914
DOI10.1017/jfm.2018.297zbMath1404.76116arXiv1804.01944OpenAlexW2795833322WikidataQ129759609 ScholiaQ129759609MaRDI QIDQ4582914
Jörg Schumacher, Anastasiya Kolchinskaya, Dimitrios Giannakis, Dmitry Krasnov
Publication date: 27 August 2018
Published in: Journal of Fluid Mechanics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.01944
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Cites Work
- Unnamed Item
- Local kernels and the geometric structure of data
- A kernel-based method for data-driven Koopman spectral analysis
- Comparative study of finite difference approaches in simulation of magnetohydrodynamic turbulence at low magnetic Reynolds number
- A data-driven approximation of the koopman operator: extending dynamic mode decomposition
- Singular spectrum analysis in nonlinear dynamics, with applications to paleoclimatic time series
- Idealized moist Rayleigh-Bénard convection with piecewise linear equation of state
- Extracting qualitative dynamics from experimental data
- Spatiotemporal analysis of complex signals: Theory and applications
- What are SRB measures, and which dynamical systems have them?
- Comparison of systems with complex behavior
- Delay-coordinate maps and the spectra of Koopman operators
- Nonlinear Laplacian spectral analysis of Rayleigh-Bénard convection
- Consistency of spectral clustering
- Diffusion maps
- Geometric harmonics: a novel tool for multiscale out-of-sample extension of empirical functions
- Spectral properties of dynamical systems, model reduction and decompositions
- On dynamic mode decomposition: theory and applications
- Analog forecasting with dynamics-adapted kernels
- Boundary layer structure in turbulent Rayleigh–Bénard convection
- Time-Scale Separation from Diffusion-Mapped Delay Coordinates
- Applied Koopmanism
- Aspect ratio dependence of heat transfer and large-scale flow in turbulent convection
- Dynamic mode decomposition of numerical and experimental data
- Rotations and cessations of the large-scale circulation in turbulent Rayleigh–Bénard convection
- Spectral analysis of nonlinear flows
- The behavior of the spectral gap under growing drift
- On the Approximation of Complicated Dynamical Behavior
- Ergodic Theory, Dynamic Mode Decomposition, and Computation of Spectral Properties of the Koopman Operator
- Nonlinear Laplacian spectral analysis for time series with intermittency and low-frequency variability
- Analysis of Fluid Flows via Spectral Properties of the Koopman Operator
- Nonlinear Laplacian spectral analysis: capturing intermittent and low‐frequency spatiotemporal patterns in high‐dimensional data
- Oscillations of the large-scale circulation in turbulent Rayleigh–Bénard convection: the sloshing mode and its relationship with the torsional mode
- Prograde, retrograde, and oscillatory modes in rotating Rayleigh–Bénard convection
- Operator Theoretic Aspects of Ergodic Theory
- Turbulent flow in the bulk of Rayleigh–Bénard convection: small-scale properties in a cubic cell