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

Clouds

Fractal analysis

Time series analysis

Numerical simulations

Radon

Atomic, molecular, and optical physics

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