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Metric entropy for finite time dynamics

  • Hoang Duc Luu (Technische Universität Dresden)
A3 02 (Seminar room)

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.

Katharina Matschke

MPI for Mathematics in the Sciences Contact via Mail