Testing for unstable periodic orbits to characterize spatiotemporal dynamics
type: Item
instance of: scholarly article
title: Testing for unstable periodic orbits to characterize spatiotemporal dynamics
zbMATH Open document ID: 0935.37051
DOI: 10.1016/S0960-0779(98)00074-5
author: G. Zöller
author: Sebastian Hainzl
author: Ralf Engbert
author: J. Kurths
published in: Chaos, Solitons and Fractals
publication date: 2000-05-09T00:00:00Z
review text: In recent years a lot of techniques have been developed to analyze time series of complex dynamical systems. Most of the previous approaches are based on the fact that the data can be approximated globally by a few dynamical modes, which of course is violated in the analysis of many natural systems. The authors present a new technique to characterize the spatiotemporal dynamics by typical spatial length scales. The main idea is based on the finding of an intermediate spatial scale between the noisy microscales and the large scales, where the interesting dynamics is suppressed by averaging effects.
Mathematics Subject Classification ID: 37M10
Mathematics Subject Classification ID: 37M05
zbMATH DE Number: 1370451
zbMATH Keywords: dynamical modes
zbMATH Keywords: spatiotemporal dynamics
zbMATH Keywords: averaging effects
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1370451