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Proceedings Paper

Reconstruction of chaotic sets from transient chaotic time series: an overview for experimentalists
Author(s): Imre M. Janosi; Tamas Tel
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Paper Abstract

A simple method describes how nonattracting chaotic sets can be reconstructed from time series by gluing pieces of many transiently chaotic signals together which come close to this invariant set. The method is illustrated with, and its validity is checked by, a map of well known dynamics, the Henon map. The nonattracting strange set is reconstructed in the presence of both a periodic and a chaotic attractor. Since the experimental investigation of transient chaos has received little attention, although the phenomenon is quite well understood theoretically, we hope that these findings might motivate further experimental studies.

Paper Details

Date Published: 18 November 1993
PDF: 9 pages
Proc. SPIE 2038, Chaos in Communications, (18 November 1993); doi: 10.1117/12.162687
Show Author Affiliations
Imre M. Janosi, Eotvos Univ. (Hungary)
Tamas Tel, Eotvos Univ. (Hungary)

Published in SPIE Proceedings Vol. 2038:
Chaos in Communications
Louis M. Pecora, Editor(s)

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