Geometry of the ergodic quotient reveals coherent structures in flows
type: Item
instance of: scholarly article
title: Geometry of the ergodic quotient reveals coherent structures in flows
zbMATH Open document ID: 1254.37010
author: Marko Budišić
author: Igor Mezić
published in: Physica D
publication date: 2012-09-11T00:00:00Z
full work available at URL: https://arxiv.org/abs/1204.2050
Mathematics Subject Classification ID: 37A99
Mathematics Subject Classification ID: 37C10
Mathematics Subject Classification ID: 37N20
Mathematics Subject Classification ID: 37N10
zbMATH DE Number: 6080975
zbMATH Keywords: coherent structures
zbMATH Keywords: dynamical systems
zbMATH Keywords: ergodic partition
zbMATH Keywords: diffusion modes
zbMATH Keywords: trajectory averages
describes a project that uses: SciPy
describes a project that uses: PyDSTool
describes a project that uses: PyTables
MaRDI profile type: Publication
OpenAlex ID: W1967994787
arXiv ID: 1204.2050
cites work: Lagrangian coherent structures and mixing in two-dimensional turbulence
cites work: A variational theory of hyperbolic Lagrangian coherent structures
cites work: Lagrangian coherent structures from approximate velocity data
cites work: Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
cites work: Detecting and Locating Near-Optimal Almost-Invariant Sets and Cycles
cites work: Almost-invariant sets and invariant manifolds - connecting probabilistic and geometric descriptions of coherent structures in flows
cites work: Transport in time-dependent dynamical systems: Finite-time coherent sets
cites work: Estimating Long-Term Behavior of Flows without Trajectory Integration: The Infinitesimal Generator Approach
cites work: A method for visualization of invariant sets of dynamical systems based on the ergodic partition
cites work: Comparison of systems with complex behavior
cites work: Ergodic theory and visualization. I. Mesochronic plots for visualization of ergodic partition and invariant sets
cites work: Metrics for ergodicity and design of ergodic dynamics for multi-agent systems
cites work: Q4384376
cites work: Diffusion maps
cites work: Distinguished material surfaces and coherent structures in three-dimensional fluid flows
cites work: Statistics from computations
cites work: Q4840149
cites work: Geometric diffusions as a tool for harmonic analysis and structure definition of data: Diffusion maps
cites work: Spectral Connectivity Analysis
cites work: Manifold parametrizations by eigenfunctions of the Laplacian and heat kernels
cites work: Q4820927
cites work: Generic Properties of Eigenfunctions
cites work: Chaotic streamlines in the ABC flows
cites work: On the integrability and perturbation of three-dimensional fluid flows with symmetry
cites work: Coherent swing instability of power grids
cites work: Q3993280
cites work: KAM tori are very sticky: Rigorous lower bounds on the time to move away from an invariant Lagrangian torus with linear flow
cites work: Width of stochastic layers in near-integrable two-dimensional symplectic maps.
cites work: Good lower and upper bounds on binomial coefficients
DOI: 10.1016/J.PHYSD.2012.04.006
description: scientific article; zbMATH DE number 6080975