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

Imre M. Jánosi, Tamás Tél

Research output: Contribution to journalConference article

Abstract

A simple method is described 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 Hénon 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.

Original languageEnglish
Pages (from-to)333-341
Number of pages9
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume2038
DOIs
Publication statusPublished - Nov 18 1993
EventChaos in Communications 1993 - San Diego, United States
Duration: Jul 11 1993Jul 16 1993

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ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics
  • Computer Science Applications
  • Applied Mathematics
  • Electrical and Electronic Engineering

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