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Thresholding distance plots using true recurrence points
Linköping University, Department of Biomedical Engineering, Physiological Measurements. Linköping University, The Institute of Technology.
Linköping University, Department of Biomedical Engineering, Physiological Measurements. Linköping University, The Institute of Technology.
Linköping University, Department of Biomedical Engineering, Physiological Measurements. Linköping University, The Institute of Technology.
2006 (English)In: Acoustics, Speech and Signal Processing, 2006. ICASSP 2006, IEEE , 2006, 688-691 p.Conference paper, Published paper (Refereed)
Abstract [en]

Recurrence plots (RP) visualize multi-dimensional state spaces and represent the recurrence of states of a system. Recurrence points can be divided into true recurrence points and false recurrence points (also called sojourn points). We introduce the true recurrence point recurrence plot, TRP, a variant of the traditional RP excluding the sojourn points. This is a cleaned up RP free from recurrence points originating from tangential motion, and hence a more robust representation of unstable periodic orbits. The method is demonstrated with three simple systems, a periodic sine wave, a quasi-periodic torus and the x-component of the chaotic Lorenz system

Place, publisher, year, edition, pages
IEEE , 2006. 688-691 p.
Series
IEEE International Conference on Acoustics, Speech and Signal Processing. Proceedings, ISSN 1520-6149 ; 3
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:liu:diva-34458DOI: 10.1109/ICASSP.2006.1660747Local ID: 21496ISBN: 1-4244-0469-X (print)OAI: oai:DiVA.org:liu-34458DiVA: diva2:255306
Conference
IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP 2006), 14-19 May 2006, Toulouse, France
Available from: 2009-10-10 Created: 2009-10-10 Last updated: 2012-12-13

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Ahlström, ChristerHult, PeterAsk, Per

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CiteExportLink to record
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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
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  • Other style
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  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
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Output format
  • html
  • text
  • asciidoc
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