Identifying finite-time coherent sets from limited quantities of Lagrangian data
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Publication:4591745
DOI10.1063/1.4927424zbMath1374.37121arXiv1412.7441OpenAlexW1515976134WikidataQ30990993 ScholiaQ30990993MaRDI QIDQ4591745
Irina I. Rypina, Clarence W. Rowley, Matthew O. Williams
Publication date: 17 November 2017
Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1412.7441
Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Time series analysis of dynamical systems (37M10)
Related Items (16)
From large deviations to semidistances of transport and mixing: coherence analysis for finite Lagrangian data ⋮ Generalized Lagrangian coherent structures ⋮ On the numerical approximation of the Perron-Frobenius and Koopman operator ⋮ On fast computation of finite-time coherent sets using radial basis functions ⋮ Detecting Lagrangian coherent structures from sparse and noisy trajectory data ⋮ Quantifying the Role of Folding in Nonautonomous Flows: The Unsteady Double-Gyre ⋮ Sparse subsampling of flow measurements for finite-time Lyapunov exponent in domains with obstacles ⋮ Sparse eigenbasis approximation: multiple feature extraction across spatiotemporal scales with application to coherent set identification ⋮ Understanding the geometry of transport: Diffusion maps for Lagrangian trajectory data unravel coherent sets ⋮ A critical comparison of Lagrangian methods for coherent structure detection ⋮ Estimating the Finite Time Lyapunov Exponent from Sparse Lagrangian Trajectories ⋮ Kernel methods for detecting coherent structures in dynamical data ⋮ Observability of laminar bidimensional fluid flows seen as autonomous chaotic systems ⋮ Topological colouring of fluid particles unravels finite-time coherent sets ⋮ Network measures of mixing ⋮ Linear response for the dynamic Laplacian and finite-time coherent sets
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Cites Work
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- Geometry of the ergodic quotient reveals coherent structures in flows
- Quadratic minimisation problems in statistics
- Almost-invariant sets and invariant manifolds - connecting probabilistic and geometric descriptions of coherent structures in flows
- A data-driven approximation of the koopman operator: extending dynamic mode decomposition
- Coherent sets for nonautonomous dynamical systems
- From basis functions to basis fields: Vector field approximation from sparse data
- Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains
- Robust Perron cluster analysis in conformation dynamics
- Lagrangian coherent structures and mixing in two-dimensional turbulence
- Multiresolution methods in scattered data modelling.
- An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems
- Spectral properties of dynamical systems, model reduction and decompositions
- Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
- RELATIVELY COHERENT SETS AS A HIERARCHICAL PARTITION METHOD
- Applied and Computational Measurable Dynamics
- Differential Geometry Perspective of Shape Coherence and Curvature Evolution by Finite-Time Nonhyperbolic Splitting
- Applied Koopmanism
- THE DYNAMICAL SYSTEMS APPROACH TO LAGRANGIAN TRANSPORT IN OCEANIC FLOWS
- Spectral analysis of nonlinear flows
- The development of chaotic advection
- Meshless Galerkin methods using radial basis functions
- Spectral Methods in MATLAB
- Finding finite-time invariant manifolds in two-dimensional velocity fields
- Finite Volume Methods for Hyperbolic Problems
- Dynamical Systems of Continuous Spectra
- Analysis of Fluid Flows via Spectral Properties of the Koopman Operator
- Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach
- Fast computation of finite-time Lyapunov exponent fields for unsteady flows
- Transport in time-dependent dynamical systems: Finite-time coherent sets
- Lagrangian coherent structures and the smallest finite-time Lyapunov exponent
- Meshfree Methods
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