Hyperbolic Lagrangian coherent structures align with contours of path-averaged scalars
Mohammad Farazmand
TL;DR
This paper investigates the relationship between hyperbolic Lagrangian coherent structures and the contours of path-averaged scalars, clarifying misconceptions about their alignment.
Contribution
It provides a mathematical clarification that inequality (9) does not guarantee alignment between these structures and scalar contours.
Findings
Inequality (9) does not imply alignment.
Hyperbolic LCSs are not necessarily aligned with scalar contours.
Clarifies the mathematical relationship between LCSs and scalar fields.
Abstract
While inequality (9) is mathematically correct, it does not imply alignment between path-averaged scalars and the hyperbolic LCSs.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Mathematical Dynamics and Fractals · Chaos control and synchronization