On the relationship between singularity exponents and finite time Lyapunov exponents in remote sensed images of the ocean

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Keywords:

finite size Lyapunov exponents, singularity exponents, remote sensing, Lagrangian analysis, Eulerian analysis

Abstract

Horizontal transport and mixing are key to properly understanding changes in the global ocean. Lagrangian Coherent Structures explain those processes and are defined as the local maxima of Finite Size Lyapunov Exponents which can only be estimated by a long enough sequence of the velocity field. We discuss to which extend the exponents can be estimated by using only singularity analysis of remote sensed images of the ocean. Singularity analysis is based on the decomposition of a signal in fractal components characterised by the Singularity Exponents which we compare to the Lyapunov Exponents.

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Published

2024-01-26

How to Cite

Puig Moner, L. (2024). On the relationship between singularity exponents and finite time Lyapunov exponents in remote sensed images of the ocean. Reports@SCM, 8(1), 21–33. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/151017

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Articles