A new concept of local metric entropy for finite-time nonautonomous dynamical systems
Dynamical Systems
2014-06-27 v3
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 -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.
Keywords
Cite
@article{arxiv.1401.6664,
title = {A new concept of local metric entropy for finite-time nonautonomous dynamical systems},
author = {Luu Hoang Duc and Stefan Siegmund},
journal= {arXiv preprint arXiv:1401.6664},
year = {2014}
}