Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Transport in time-dependent dynamical systems: Finite-time coherent sets - MaRDI portal

Transport in time-dependent dynamical systems: Finite-time coherent sets

From MaRDI portal
Publication:5251316

DOI10.1063/1.3502450zbMath1311.37008arXiv1008.1613OpenAlexW1981145361WikidataQ39797712 ScholiaQ39797712MaRDI QIDQ5251316

Gary Froyland, Naratip Santitissadeekorn, Adam Hugh Monahan

Publication date: 20 May 2015

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1008.1613




Related Items (70)

From large deviations to semidistances of transport and mixing: coherence analysis for finite Lagrangian dataLocal stable and unstable manifolds and their control in nonautonomous finite-time flowsKoopman analysis of quantum systems*Generalized Lagrangian coherent structuresMesochronic classification of trajectories in incompressible 3D vector fields over finite timesOptimal Mixing Enhancement by Local PerturbationStretching and folding in finite timeAn extended transfer operator approach to identify separatrices in open flowsGeodesic theory of transport barriers in two-dimensional flowsMultiscale model reduction for incompressible flowsFast and robust computation of coherent Lagrangian vortices on very large two-dimensional domainsStudying an Agulhas ring's long-term pathway and decay with finite-time coherent setsA rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory dataIdentifying finite-time coherent sets from limited quantities of Lagrangian dataOn fast computation of finite-time coherent sets using radial basis functionsDetecting Lagrangian coherent structures from sparse and noisy trajectory dataOptimal Mixing EnhancementDetecting the birth and death of finite‐time coherent setsA geometric heat-flow theory of Lagrangian coherent structuresA coherent structure approach for parameter estimation in Lagrangian data assimilationQuantifying the Role of Folding in Nonautonomous Flows: The Unsteady Double-GyreA tale of two vortices: how numerical ergodic theory and transfer operators reveal fundamental changes to coherent structures in non-autonomous dynamical systemsA patch in time saves nine: methods for the identification of localised dynamical behaviour and lifespans of coherent structuresUnsteadily manipulating internal flow barriersComputing covariant Lyapunov vectors, Oseledets vectors, and dichotomy projectors: A comparative numerical studyAn analytic framework for identifying finite-time coherent sets in time-dependent dynamical systemsSparse eigenbasis approximation: multiple feature extraction across spatiotemporal scales with application to coherent set identificationA concept of local metric entropy for finite-time nonautonomous dynamical systemsGeometry of the ergodic quotient reveals coherent structures in flowsCharacterizing Flows by Complex Network MethodsSpectral clustering for non-reversible Markov chainsSet-Oriented and Finite-Element Study of Coherent Behavior in Rayleigh-Bénard ConvectionExtraction and prediction of coherent patterns in incompressible flows through space-time koopman analysisOptimal transport over nonlinear systems via infinitesimal generators on graphsStochastic Sensitivity: A Computable Lagrangian Uncertainty Measure for Unsteady FlowsCan vortex criteria be objectivized?Heat-content and diffusive leakage from material sets in the low-diffusivity limit *Understanding the geometry of transport: Diffusion maps for Lagrangian trajectory data unravel coherent setsA critical comparison of Lagrangian methods for coherent structure detectionComputing coherent sets using the Fokker-Planck equationFinite-time entropy: a probabilistic approach for measuring nonlinear stretchingComputing the invariant measure and the Lyapunov exponent for one-dimensional maps using a measure-preserving polynomial basisA dynamic Laplacian for identifying Lagrangian coherent structures on weighted Riemannian manifoldsGo with the flow, on Jupiter and snow. Coherence from model-free video data without trajectoriesCoherent sets for nonautonomous dynamical systemsRobust FEM-Based Extraction of Finite-Time Coherent Sets Using Scattered, Sparse, and Incomplete TrajectoriesInternal wave boluses as coherent structures in a continuously stratified fluidGeodesic Transport Barriers in Jupiter's Atmosphere: A Video-Based AnalysisComputation and Optimal Perturbation of Finite-Time Coherent Sets for Aperiodic Flows Without Trajectory IntegrationKernel methods for detecting coherent structures in dynamical dataShearless transport barriers in unsteady two-dimensional flows and mapsMultiplicative ergodic theorems for transfer operators: Towards the identification and analysis of coherent structures in non-autonomous dynamical systemsQuenched stochastic stability for eventually expanding-on-average random interval map cocyclesQuasi-objective coherent structure diagnostics from single trajectoriesLinear response for the dynamic Laplacian and finite-time coherent setsControlling the Unsteady Analogue of Saddle Stagnation PointsFréchet differentiable drift dependence of Perron–Frobenius and Koopman operators for non-deterministic dynamicsTransfer operators from optimal transport plans for coherent set detectionTensor-based computation of metastable and coherent setsA Fourier approach to Lagrangian vortex detectionData-driven spectral decomposition and forecasting of ergodic dynamical systemsShape Coherence and Finite-Time Curvature EvolutionExplicit invariant manifolds and specialised trajectories in a class of unsteady flowsMETASTABILITY, LYAPUNOV EXPONENTS, ESCAPE RATES, AND TOPOLOGICAL ENTROPY IN RANDOM DYNAMICAL SYSTEMSA Multi-time Step Method to Compute Optical Flow with Scientific Priors for Observations of a Fluidic SystemPartitions of networks that are robust to vertex permutation dynamicsRELATIVELY COHERENT SETS AS A HIERARCHICAL PARTITION METHODA mapping method for distributive mixing with diffusion: Interplay between chaos and diffusion in time-periodic sine flowHow sensitive are Lagrangian coherent structures to uncertainties in data?Estimating long-term behavior of periodically driven flows without trajectory integration



Cites Work


This page was built for publication: Transport in time-dependent dynamical systems: Finite-time coherent sets