Reconstruction of chaotic sets from transient chaotic time series: an overview for experimentalists

Imre M. Janosi; Tamas Tel

doi:10.1117/12.162687

18 November 1993 Reconstruction of chaotic sets from transient chaotic time series: an overview for experimentalists

Imre M. Janosi, Tamas Tel

Author Affiliations +

Proceedings Volume 2038, Chaos in Communications; (1993) https://doi.org/10.1117/12.162687
Event: SPIE's 1993 International Symposium on Optics, Imaging, and Instrumentation, 1993, San Diego, CA, United States

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.

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Imre M. Janosi and Tamas Tel "Reconstruction of chaotic sets from transient chaotic time series: an overview for experimentalists", Proc. SPIE 2038, Chaos in Communications, (18 November 1993); https://doi.org/10.1117/12.162687

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