Artículo
Ortega, G.J. "Invariant measures as lagrangian variables: Their application to time series analysis" (1996) Physical Review Letters. 77(2):259-262
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Abstract:
We introduce a new procedure for the analysis of a chaotic time series with a “Lagrangian” variable of the system’s trajectory. Using the density of points that the systems encounters as it evolves, we can extract all dynamically connected frequencies in a continuous time dynamical system. We apply this technique to simulated and experimental time series. © 1996 American Physical Society.
Registro:
| Documento: | Artículo |
| Título: | Invariant measures as lagrangian variables: Their application to time series analysis |
| Autor: | Ortega, G.J. |
| Filiación: | Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Buenos Aires, Argentina |
| Año: | 1996 |
| Volumen: | 77 |
| Número: | 2 |
| Página de inicio: | 259 |
| Página de fin: | 262 |
| DOI: | http://dx.doi.org/10.1103/PhysRevLett.77.259 |
| Título revista: | Physical Review Letters |
| Título revista abreviado: | Phys Rev Lett |
| ISSN: | 00319007 |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v77_n2_p259_Ortega |
Referencias:
- Eckmann, J.-P., Ruelle, R., (1985) Rev. Mod. Phys., 57 (3), p. 617
- Ortega, G., Romanelli, L., (1995) Proceedings of the First International Conference on Complex Systems in Computational Physics, 6, p. 411. , Buenos Aires, Chaos Solitons Fractals, CSFOEH
- Eckmann, J.-P., Oliffson Kamphorst, S., Ruelle, D., (1987) Europhys. Lett., 4 (9), p. 973
- Ortega, G., (1995) Phys. Lett. A, 209, p. 351
- Haken, H., (1983) Synergetics, p. 159. , Springer-Verlag, Berlin, 3rd ed
- Takens, F., Dynamical Systems and Turbulence (1981) Lecture Notes in Mathematics, 898. , D. A. Rand and L. S. Young, Springer, Berlin
- Packard, N.H., Crutchfield, J.P., Farmer, J.D., Shaw, R.S., (1980) Phys. Rev. Lett., 45, p. 712
- Sauer, T., Yorke, J., Casdagli, M., (1991) J. Stat. Phys., 65 (3-4), p. 579
- Ding, M., Grebogi, C., Ott, E., Sauer, T., Yorke, J., (1993) Physica (Amsterdam), 69D, p. 404
- Epanechnikov, V.A., (1969) Theory Probab. Appl., 14, p. 153
- Zeghlache, H., Mandel, P., (1985) J. Opt. Soc. Am. B, 2, p. 18
- Press, W.H., Teukolsky, S.A., Vetterling, W.T., Flannery, B.P., (1992) Numerical Recipes, , Cambridge University Press, Cambridge, England, 2nd ed
- Time Series Prediction: Forecasting the Future and Understanding the Past (1994) Santa Fe Institute Studies in the Sciences of Complexity, 15. , A. S. Weigend and N. A. Gershenfeld, Addison-Wesley, Reading, MA
- Noakes, L., Mees, A., (1992) Physica (Amsterdam), 58D, p. 243
Citas:
---------- APA ----------
(1996) . Invariant measures as lagrangian variables: Their application to time series analysis. Physical Review Letters, 77(2), 259-262.http://dx.doi.org/10.1103/PhysRevLett.77.259
---------- CHICAGO ----------
Ortega, G.J. "Invariant measures as lagrangian variables: Their application to time series analysis" . Physical Review Letters 77, no. 2 (1996) : 259-262.http://dx.doi.org/10.1103/PhysRevLett.77.259
---------- MLA ----------
Ortega, G.J. "Invariant measures as lagrangian variables: Their application to time series analysis" . Physical Review Letters, vol. 77, no. 2, 1996, pp. 259-262.http://dx.doi.org/10.1103/PhysRevLett.77.259
---------- VANCOUVER ----------
Ortega, G.J. Invariant measures as lagrangian variables: Their application to time series analysis. Phys Rev Lett. 1996;77(2):259-262.http://dx.doi.org/10.1103/PhysRevLett.77.259
