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arXiv · 1401.6664

A new concept of local metric entropy for finite-time nonautonomous dynamical systems

Luu Hoang Duc·Stefan Siegmund
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Abstract

We introduce a new concept of finite-time entropy which is a local version of the classical concept of metric entropy. Based on that, a finite-time version of Pesin's entropy formula and also an explicit formula of finite-time entropy for $2$-D systems are derived. We also discuss about how to apply the finite-time entropy field to detect special dynamical structures such as Lagrangian coherent structures.

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Luu Hoang Duc, Stefan Siegmund. 2014-06-25. A new concept of local metric entropy for finite-time nonautonomous dynamical systems. https://arxiv.org/abs/1401.6664

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