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

2014/01/26 by Luu Hoang Duc, Duc, Luu Hoang, Stefan Siegmund +1
Computer Science · Mathematics · Physics and Astronomy · #Chaos control and synchronization #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Quantum chaos and dynamical systems #math.DS

paper · pdf · doi:10.48550/arxiv.1401.6664

openalex publication_date 2014/01/26 · arxiv created 2014/06/25 · arxiv updated 2014/06/27 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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.

Citations

• Transport in time-dependent dynamical systems: Finite-time coherent sets

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