Recurrence plots and unstable periodic orbits

Elizabeth Bradley; Ricardo Mantilla

doi:10.1063/1.1488255

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Recurrence plots and unstable periodic orbits

Journal article

Open access

Peer reviewed

Recurrence plots and unstable periodic orbits

Elizabeth Bradley and Ricardo Mantilla

Chaos (Woodbury, N.Y.), Vol.12(3), pp.596-600

2002

DOI: 10.1063/1.1488255

PMID: 12779588

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Abstract

A recurrence plot is a two-dimensional visualization technique for sequential data. These plots are useful in that they bring out correlations at all scales in a manner that is obvious to the human eye, but their rich geometric structure can make them hard to interpret. In this paper, we suggest that the unstable periodic orbits embedded in a chaotic attractor are a useful basis set for the geometry of a recurrence plot of those data. This provides not only a simple way to locate unstable periodic orbits in chaotic time-series data, but also a potentially effective way to use a recurrence plot to identify a dynamical system. (c) 2002 American Institute of Physics.

Details

Title: Subtitle: Recurrence plots and unstable periodic orbits
Creators: Elizabeth Bradley
Ricardo Mantilla
Resource Type: Journal article
Publication Details: Chaos (Woodbury, N.Y.), Vol.12(3), pp.596-600
DOI: 10.1063/1.1488255
PMID: 12779588
NLM abbreviation: Chaos
ISSN: 1054-1500
eISSN: 1089-7682
Language: English
Date published: 2002
Academic Unit: Civil and Environmental Engineering; IIHR--Hydroscience and Engineering
Record Identifier: 9983992069002771

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