Recognizing hidden frequencies in a chaotic time series

Jyh Long Chern, Jing Yuan Ko, Jiann Shing Lih, Han-Tzong Su, Rue-Ron Hsu

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

Using the method of phase space reconstruction (PSR), it is possible to detect dynamically connected hidden frequency components in a chaotic time series. Here, we suggest to use the method of singular value decomposition (SVD) in tandem with the PSR. With this new scheme, the procedure to search for the hidden frequencies can be simplified substantially and the search efficiency can be improved greatly. We use the Lorenz model, the Rössler model, and the hyperchaotic Rössler model to illustrate how this PSR/SVD scheme works.

Original languageEnglish
Pages (from-to)134-140
Number of pages7
JournalPhysics Letters, Section A: General, Atomic and Solid State Physics
Volume238
Issue number2-3
DOIs
Publication statusPublished - 1998 Feb 2

Fingerprint

decomposition

All Science Journal Classification (ASJC) codes

  • Physics and Astronomy(all)

Cite this

@article{c6bb55eb68aa456598b8fb84cc7a8aeb,
title = "Recognizing hidden frequencies in a chaotic time series",
abstract = "Using the method of phase space reconstruction (PSR), it is possible to detect dynamically connected hidden frequency components in a chaotic time series. Here, we suggest to use the method of singular value decomposition (SVD) in tandem with the PSR. With this new scheme, the procedure to search for the hidden frequencies can be simplified substantially and the search efficiency can be improved greatly. We use the Lorenz model, the R{\"o}ssler model, and the hyperchaotic R{\"o}ssler model to illustrate how this PSR/SVD scheme works.",
author = "Chern, {Jyh Long} and Ko, {Jing Yuan} and Lih, {Jiann Shing} and Han-Tzong Su and Rue-Ron Hsu",
year = "1998",
month = "2",
day = "2",
doi = "10.1016/S0375-9601(97)00698-1",
language = "English",
volume = "238",
pages = "134--140",
journal = "Physics Letters, Section A: General, Atomic and Solid State Physics",
issn = "0375-9601",
publisher = "Elsevier",
number = "2-3",

}

Recognizing hidden frequencies in a chaotic time series. / Chern, Jyh Long; Ko, Jing Yuan; Lih, Jiann Shing; Su, Han-Tzong; Hsu, Rue-Ron.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 238, No. 2-3, 02.02.1998, p. 134-140.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Recognizing hidden frequencies in a chaotic time series

AU - Chern, Jyh Long

AU - Ko, Jing Yuan

AU - Lih, Jiann Shing

AU - Su, Han-Tzong

AU - Hsu, Rue-Ron

PY - 1998/2/2

Y1 - 1998/2/2

N2 - Using the method of phase space reconstruction (PSR), it is possible to detect dynamically connected hidden frequency components in a chaotic time series. Here, we suggest to use the method of singular value decomposition (SVD) in tandem with the PSR. With this new scheme, the procedure to search for the hidden frequencies can be simplified substantially and the search efficiency can be improved greatly. We use the Lorenz model, the Rössler model, and the hyperchaotic Rössler model to illustrate how this PSR/SVD scheme works.

AB - Using the method of phase space reconstruction (PSR), it is possible to detect dynamically connected hidden frequency components in a chaotic time series. Here, we suggest to use the method of singular value decomposition (SVD) in tandem with the PSR. With this new scheme, the procedure to search for the hidden frequencies can be simplified substantially and the search efficiency can be improved greatly. We use the Lorenz model, the Rössler model, and the hyperchaotic Rössler model to illustrate how this PSR/SVD scheme works.

UR - http://www.scopus.com/inward/record.url?scp=0042858730&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0042858730&partnerID=8YFLogxK

U2 - 10.1016/S0375-9601(97)00698-1

DO - 10.1016/S0375-9601(97)00698-1

M3 - Article

VL - 238

SP - 134

EP - 140

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

IS - 2-3

ER -