Time structure of chaotic attractors: A graphical view

Autor:	P. Maurer, Hai Da H.D. Wang, Agnessa Babloyantz
Rok vydání:	1997
Předmět:	Theoretical computer science Series (mathematics) Simple (abstract algebra) Computer science Diagram Attractor Chaotic Lorenz system Logistic map Time structure Algorithm
Zdroj:	Physical Review E. 56:1188-1196
ISSN:	1095-3787 1063-651X
DOI:	10.1103/physreve.56.1188
Popis:	We present a simple and computationally inexpensive graphical method that unveils subtle correlations between short sequences of a chaotic time series. Similar events, even from noisy and nonstationary data, are clustered together and appear as well-defined patterns on a two-dimensional diagram and can be quantified. The general method is applied to the electrocardiogram of a patient with a malfunctioning pacemaker, the residence times of trajectories in the Lorenz attractor as well as the logistic map. In each case the diagrams unveil different aspects of the system's dynamics.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::3c94a53093261ff06251ceb9aab8310e https://doi.org/10.1103/physreve.56.1188 Zobrazit plný text záznamu