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

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.

preprint2014arXivOpen access
Luu Hoang DucStefan Siegmund
math.DS
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Open access2 authors1 topic
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Luu Hoang DucStefan Siegmund

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