A new method to detect hidden frequencies in chaotic time series

We introduce a procedure to obtain the whole spectrum of frequencies in a dynamical system by using only one variable. By embedding the data in multidimensional spaces, and recording the density of points that the trajectory encounters as it evolves, it is possible, through a spectral analysis over...

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Detalles Bibliográficos
Autor principal: Ortega, Guillermo Jose
Publicado: 1995
Materias:
Embedding
Fourier transform
Frequencies
Invariant measure
Time-series
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03759601_v209_n5-6_p351_Ortega
http://hdl.handle.net/20.500.12110/paper_03759601_v209_n5-6_p351_Ortega
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_03759601_v209_n5-6_p351_Ortega
record_format dspace
spelling paper:paper_03759601_v209_n5-6_p351_Ortega2023-06-08T15:38:33Z A new method to detect hidden frequencies in chaotic time series Ortega, Guillermo Jose Embedding Fourier transform Frequencies Invariant measure Time-series We introduce a procedure to obtain the whole spectrum of frequencies in a dynamical system by using only one variable. By embedding the data in multidimensional spaces, and recording the density of points that the trajectory encounters as it evolves, it is possible, through a spectral analysis over this density time series, to determine the real frequencies of the system hidden in the chosen variable. © 1995. Fil:Ortega, G.J. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1995 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03759601_v209_n5-6_p351_Ortega http://hdl.handle.net/20.500.12110/paper_03759601_v209_n5-6_p351_Ortega
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Embedding
Fourier transform
Frequencies
Invariant measure
Time-series
spellingShingle Embedding
Fourier transform
Frequencies
Invariant measure
Time-series
Ortega, Guillermo Jose
A new method to detect hidden frequencies in chaotic time series
topic_facet Embedding
Fourier transform
Frequencies
Invariant measure
Time-series
description We introduce a procedure to obtain the whole spectrum of frequencies in a dynamical system by using only one variable. By embedding the data in multidimensional spaces, and recording the density of points that the trajectory encounters as it evolves, it is possible, through a spectral analysis over this density time series, to determine the real frequencies of the system hidden in the chosen variable. © 1995.
author Ortega, Guillermo Jose
author_facet Ortega, Guillermo Jose
author_sort Ortega, Guillermo Jose
title A new method to detect hidden frequencies in chaotic time series
title_short A new method to detect hidden frequencies in chaotic time series
title_full A new method to detect hidden frequencies in chaotic time series
title_fullStr A new method to detect hidden frequencies in chaotic time series
title_full_unstemmed A new method to detect hidden frequencies in chaotic time series
title_sort new method to detect hidden frequencies in chaotic time series
publishDate 1995
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03759601_v209_n5-6_p351_Ortega
http://hdl.handle.net/20.500.12110/paper_03759601_v209_n5-6_p351_Ortega
work_keys_str_mv AT ortegaguillermojose anewmethodtodetecthiddenfrequenciesinchaotictimeseries
AT ortegaguillermojose newmethodtodetecthiddenfrequenciesinchaotictimeseries
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