Koopman mode expansions between simple invariant solutions

DOI10.1017/jfm.2019.686zbMath1430.76222arXiv1811.05907OpenAlexW2901625726MaRDI QIDQ5235720

Jacob Page, R. R. Kerswell

Publication date: 14 October 2019

Published in: Journal of Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1811.05907

zbMATH Keywords

transition to turbulencelow-dimensional models

Mathematics Subject Classification ID

Transition to turbulence (76F06)

Related Items (11)

The linear-time-invariance notion of the Koopman analysis. Part 2. Dynamic Koopman modes, physics interpretations and phenomenological analysis of the prism wake ⋮ Detection and prediction of equilibrium states in kinetic plasma simulations via mode tracking using reduced-order dynamic mode decomposition ⋮ Model and data reduction for data assimilation: particle filters employing projected forecasts and data with application to a shallow water model ⋮ Modern Koopman Theory for Dynamical Systems ⋮ Capturing the edge of chaos as a spectral submanifold in pipe flows ⋮ The influence of invariant solutions on the transient behaviour of an air bubble in a Hele-Shaw channel ⋮ Spectrum of the Koopman operator, spectral expansions in functional spaces, and state-space geometry ⋮ Searching turbulence for periodic orbits with dynamic mode decomposition ⋮ Koopman Analysis of Isolated Fronts and Solitons ⋮ Residual dynamic mode decomposition: robust and verified Koopmanism ⋮ Symmetry-reduced dynamic mode decomposition of near-wall turbulence

Uses Software

• channelflow

Cites Work

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