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Abstract:

Periodicities in a dynamical system are determined by using only one variable. Embedding the data in higher dimensional spaces allows us to find recurrence time associated with particular points in the attractor. The present analysis is useful for experimental time series where traditional tools (e.g., Fourier Transform) fail in detecting some intrinsic frequencies of the system. © 1995 Elsevier Science Ltd.

Registro:

Documento: Artículo
Título:Detecting hidden frequencies in dynamical time series: A numerical report
Autor:Ortega, G.; Romanelli, L.
Filiación:Departamento de Física, Facultad de Ciencias Exactas, Naturales Universidad de Buenos Aires, Ciudad Universitaria, Capital Federal, Argentina
Año:1995
Volumen:6
Número:C
Página de inicio:411
Página de fin:415
DOI: http://dx.doi.org/10.1016/0960-0779(95)80048-L
Título revista:Chaos, Solitons and Fractals
Título revista abreviado:Chaos Solitons Fractals
ISSN:09600779
CODEN:CSFOE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_09600779_v6_nC_p411_Ortega

Referencias:

  • Bracewell, Numerical Transforms (1990) Science, 248, pp. 697-704
  • Jenkins, Watts, (1968) Spectral Analysis and its Applications, , Holden-Day, San Francisco
  • Abarbanel, Brown, Sidorowich, Tsimring, The Analysis of Observed Chaotic Data in Physical Systems (1993) Review of Modern Physics, 65 (4), pp. 1331-1392
  • Eckmann, Kamphorst, Ruelle, Recurrence Plots of Dynamical Systems (1987) Europhysics Letters (EPL), 4 (9), pp. 973-977
  • Auerbach, Cvitanovic, Eckmann, Gunaratne, Procaccia, Exploring Chaotic Motion Through Periodic Orbits (1987) Phys. Rev. Lett., 58 (23), pp. 2387-2389
  • Lathrop, Kostelich, Characterization of an Experimental Strange Attractor by Periodic Orbits (1989) Physical Review A, 40 (7), pp. 4028-4031
  • Mindlin, Gilmore, Topological Analysis and Synthesis of Chaotic Time Series (1992) Physica D, 58, pp. 229-242

Citas:

---------- APA ----------
Ortega, G. & Romanelli, L. (1995) . Detecting hidden frequencies in dynamical time series: A numerical report. Chaos, Solitons and Fractals, 6(C), 411-415.
http://dx.doi.org/10.1016/0960-0779(95)80048-L
---------- CHICAGO ----------
Ortega, G., Romanelli, L. "Detecting hidden frequencies in dynamical time series: A numerical report" . Chaos, Solitons and Fractals 6, no. C (1995) : 411-415.
http://dx.doi.org/10.1016/0960-0779(95)80048-L
---------- MLA ----------
Ortega, G., Romanelli, L. "Detecting hidden frequencies in dynamical time series: A numerical report" . Chaos, Solitons and Fractals, vol. 6, no. C, 1995, pp. 411-415.
http://dx.doi.org/10.1016/0960-0779(95)80048-L
---------- VANCOUVER ----------
Ortega, G., Romanelli, L. Detecting hidden frequencies in dynamical time series: A numerical report. Chaos Solitons Fractals. 1995;6(C):411-415.
http://dx.doi.org/10.1016/0960-0779(95)80048-L