Studying an Agulhas ring's long-term pathway and decay with finite-time coherent sets

DOI10.1063/1.4927830zbMath1374.37031OpenAlexW1522256480WikidataQ30990990 ScholiaQ30990990MaRDI QIDQ4591741

Christian Horenkamp, Gary Froyland, Vincent Rossi, Erik van Sebille

Publication date: 17 November 2017

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

Full work available at URL: http://hdl.handle.net/10261/134131

Mathematics Subject Classification ID

Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Dynamics induced by flows and semiflows (37C10)

Related Items (8)

From large deviations to semidistances of transport and mixing: coherence analysis for finite Lagrangian data ⋮ An extended transfer operator approach to identify separatrices in open flows ⋮ 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 ⋮ On star-convex volumes in 2-D hydrodynamical flows and their relevance for coherent transport ⋮ Multiplicative ergodic theorems for transfer operators: Towards the identification and analysis of coherent structures in non-autonomous dynamical systems ⋮ Fréchet differentiable drift dependence of Perron–Frobenius and Koopman operators for non-deterministic dynamics

Cites Work

• Transport in two-dimensional maps
• Geodesic theory of transport barriers in two-dimensional flows
• An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems
• Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
• FAMILIES OF INVARIANT MANIFOLDS CORRESPONDING TO NONZERO CHARACTERISTIC EXPONENTS
• Ergodic Attractors
• Transport in time-dependent dynamical systems: Finite-time coherent sets
• Almost-Invariant and Finite-Time Coherent Sets: Directionality, Duration, and Diffusion

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