Characterization of spatiotemporal chaos from time series

Autor:	Martienssen W, H. Heng, Bauer M
Rok vydání:	1993
Předmět:	Nonlinear Sciences::Chaotic Dynamics Series (mathematics) Dimension (vector space) Stochastic process Noise (signal processing) Attractor General Physics and Astronomy Equations of motion Statistical physics Dynamical system Error detection and correction Mathematics
Zdroj:	Physical Review Letters. 71:521-524
ISSN:	0031-9007
DOI:	10.1103/physrevlett.71.521
Popis:	The analysis of time series generated by spatiotemporal chaotic systems is discussed. We find that a Grassberger-Procaccia algorithm with a suitable normalisation for the correction of systematic errors caused by the shape of the attractor is a reliable method for distinguishing between high-dimensional chaos and noise. We show that even a quantitative description of the attractor is possible by means of dimension densities. The results obtained from the time series are in good agreement with values calculated directly from the generating equations of motion
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::75e03227c45c1a90a4eafcef4448e130 https://doi.org/10.1103/physrevlett.71.521 Zobrazit plný text záznamu