Artículo
Sciamarella, D.; Mindlin, G.B. "Unveiling the topological structure of chaotic flows from data" (2001) Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 64(3 II):362091-362099
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Abstract:
The study of two chaotic solutions resulting from the numerical integration of a three dimensional and a four dimensional system of ordinary differential equations was reported. The analysis of branched manifolds through homologies, and a study of data from human voice was also presented. The study extends the range of applicability of the topological approach to chaotic data.
Registro:
| Documento: | Artículo |
| Título: | Unveiling the topological structure of chaotic flows from data |
| Autor: | Sciamarella, D.; Mindlin, G.B. |
| Filiación: | Departamento de Física, Facultad de Ciencias Exactas y Nat., Universidad de Buenos Aires, Pab I, Casilla de Correo 1428, Buenos Aires, Argentina |
| Palabras clave: | Algorithms; Computation theory; Conformal mapping; Data reduction; Fractals; Initial value problems; Invariance; Ordinary differential equations; Speech analysis; Topology; Chaotic data; Chaos theory |
| Año: | 2001 |
| Volumen: | 64 |
| Número: | 3 II |
| Página de inicio: | 362091 |
| Página de fin: | 362099 |
| Título revista: | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Título revista abreviado: | Phys Rev E. |
| ISSN: | 15393755 |
| CODEN: | PLEEE |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v64_n3II_p362091_Sciamarella |
Referencias:
- Abarbanel, H.D.I., Brown, R., Sidorowich, J.J., Tsimring, L.Sh., (1993) Rev. Mod. Phys., 65, p. 1331
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- Mindlin, G.B., Solari, H.G., Natiello, M.A., Gilmore, R., Hou, X., (1991) J. Nonlinear Sci., 1, p. 147
- Sciamarella, D., Mindlin, G.B., (1999) Phys. Rev. Lett., 82, p. 1450
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- Kinsey, L.C., (1993) Topology of Surfaces, , UTM Series (Springer Verlag, New York)
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- Deng, B., (1994) Int. J. Bifurcation Chaos Appl. Sci. Eng., 4, p. 823
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Citas:
---------- APA ----------
Sciamarella, D. & Mindlin, G.B. (2001) . Unveiling the topological structure of chaotic flows from data. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 64(3 II), 362091-362099.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v64_n3II_p362091_Sciamarella [ ]
---------- CHICAGO ----------
Sciamarella, D., Mindlin, G.B. "Unveiling the topological structure of chaotic flows from data" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 64, no. 3 II (2001) : 362091-362099.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v64_n3II_p362091_Sciamarella [ ]
---------- MLA ----------
Sciamarella, D., Mindlin, G.B. "Unveiling the topological structure of chaotic flows from data" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 64, no. 3 II, 2001, pp. 362091-362099.Recuperado de https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v64_n3II_p362091_Sciamarella [ ]
---------- VANCOUVER ----------
Sciamarella, D., Mindlin, G.B. Unveiling the topological structure of chaotic flows from data. Phys Rev E. 2001;64(3 II):362091-362099.Available from: https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v64_n3II_p362091_Sciamarella [ ]
