On the Objectivity and Quasi-Objectivity of TSE and TRA
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866916242230607872 |
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| author | Theisel, Holger Friederici, Anke Günther, Tobias |
| author_facet | Theisel, Holger Friederici, Anke Günther, Tobias |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2304_00089 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | On the Objectivity and Quasi-Objectivity of TSE and TRA Theisel, Holger Friederici, Anke Günther, Tobias Fluid Dynamics 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. |
| title | On the Objectivity and Quasi-Objectivity of TSE and TRA |
| topic | Fluid Dynamics |
| url | https://arxiv.org/abs/2304.00089 |