Finite-time rotation number: a fast indicator for chaotic dynamical structures

2011/02/10 by J. D. Szezech Jr., José D. Szezech, Szezech, J. D. +12
Physics and Astronomy · #Chaos control and synchronization #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Quantum chaos and dynamical systems #nlin.CD

paper · pdf · doi:10.48550/arxiv.1102.2105

4 pages, 3 figures

arxiv created 2011/02/10 · openalex publication_date 2011/02/10 · arxiv updated 2011/02/11 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Lagrangian coherent structures are effective barriers, sticky regions, that separate phase space regions of different dynamical behavior. The usual way to detect such structures is via finite-time Lyapunov exponents. We show that similar results can be obtained for single-frequency systems from finite-time rotation numbers, which are much faster to compute. We illustrate our claim by considering examples of continuous and discrete-time dynamical systems of physical interest.

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