Eulerian Methods for Visualizing Continuous Dynamical Systems using Lyapunov Exponents

DOI10.1137/16M1066890zbMath1373.37180arXiv1603.06446OpenAlexW2310694395MaRDI QIDQ5738160

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Publication date: 31 May 2017

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.06446

zbMATH Keywords

dynamical systemLyapunov exponentEulerian method

Mathematics Subject Classification ID

Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Computational methods for ergodic theory (approximation of invariant measures, computation of Lyapunov exponents, entropy, etc.) (37M25) Numerical nonlinear stabilities in dynamical systems (65P40)

Related Items (13)

Computing the finite time Lyapunov exponent for flows with uncertainties ⋮ Eulerian algorithms for computing some Lagrangian flow network quantities ⋮ A novel quantity for identifying the repelling structures of continuous dynamical systems ⋮ Eulerian Algorithms for Computing the Forward Finite Time Lyapunov Exponent Without Finite Difference upon the Flow Map ⋮ Within-Cluster Variability Exponent for Identifying Coherent Structures in Dynamical Systems ⋮ Sparse subsampling of flow measurements for finite-time Lyapunov exponent in domains with obstacles ⋮ Eulerian based interpolation schemes for flow map construction and line integral computation with applications to Lagrangian coherent structures extraction ⋮ Advection without compounding errors through flow map composition ⋮ The finite-time expected deviation exponent for continuous dynamical systems ⋮ Estimating the Finite Time Lyapunov Exponent from Sparse Lagrangian Trajectories ⋮ An improved Eulerian approach for the finite time Lyapunov exponent ⋮ Fast construction of forward flow maps using Eulerian based interpolation schemes ⋮ Fast Computations for the Lagrangian-averaged Vorticity Deviation Based on the Eulerian Formulations

Uses Software

• VIALS

Cites Work

• Unnamed Item
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