R. Peikert, A. Pobitzer, F. Sadlo, B. Schindler:

A Comparison of Finite-Time and Finite-Size Lyapunov Exponents

In Topological Methods in Data Analysis and Visualization III, Springer International Publishing, pp. 187–200, 2014.


Finite-time and finite-size Lyapunov exponents are related concepts that have been used for the purpose of identifying transport structures in time-dependent flow. The preference for one or the other concept seems to be based more on a tradition within a scientific community than on proven advantages. In this study, we demonstrate that with the two concepts highly similar visualizations can be produced, by maximizing a simple similarity measure. Furthermore, we show that results depend crucially on the numerical implementation of the two concepts.

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