New links between invariant dynamical structures and uncertainty quantification

DOI10.1016/j.physd.2023.133826zbMath1516.37134MaRDI QIDQ6111923

Guillermo García-Sánchez, Ana Maria Mancho, Unnamed Author, Makrina Agaoglou

Publication date: 4 August 2023

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

uncertainty quantificationocean modelsinvariant dynamical structures

Mathematics Subject Classification ID

Hydrology, hydrography, oceanography (86A05) Dynamical systems in fluid mechanics, oceanography and meteorology (37N10) Simulation of dynamical systems (37M05) Computational methods for invariant manifolds of dynamical systems (37M21)

Cites Work

• Lagrangian descriptors: a method for revealing phase space structures of general time dependent dynamical systems
• The application of Lagrangian descriptors to 3D vector fields
• Detection of phase space structures of the cat map with Lagrangian descriptors
• Lagrangian descriptors for two dimensional, area preserving, autonomous and nonautonomous maps
• A bridge between invariant dynamical structures and uncertainty quantification
• A Theoretical Framework for Lagrangian Descriptors
• Lagrangian coherent structures from approximate velocity data

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