On the Objectivity and Quasi-Objectivity of TSE and TRA
Fluid Dynamics
2024-05-14 v2
Abstract
We analyze two recently-introduced flow measured that are based on a single trajectory only: trajectory stretching exponent (TSE) to detect hyperbolic (stretching) behavior, and trajectory angular velocity (TRA) to detect elliptic (rotation) behavior. Haller et al. [2021] and Haller et al. [2022] introduced TSE, TRA as well as the concept of quasi-objectivity, and formulated theorems about the objectivity and quasi-objectivity of TSE and TRA. In this paper, we present two counter-examples showing that all theorems in Haller et al. [2021] and Haller et al. [2022] are incorrect.
Keywords
Cite
@article{arxiv.2304.00089,
title = {On the Objectivity and Quasi-Objectivity of TSE and TRA},
author = {Holger Theisel and Anke Friederici and Tobias Günther},
journal= {arXiv preprint arXiv:2304.00089},
year = {2024}
}
Comments
arXiv admin note: substantial text overlap with arXiv:2202.09566