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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Autor principal: Ortega, Guillermo Jose
Publicado: 1995
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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
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Sumario: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.