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
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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
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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
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Volumen: | 64
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Número: | 3 II
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Página de inicio: | 362091
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Página de fin: | 362099
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Título revista: | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
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Título revista abreviado: | Phys Rev E.
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ISSN: | 15393755
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CODEN: | PLEEE
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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
- Mindlin, G.B., Solari, H.G., Gilmore, R., Hou, X.J., Tufillaro, N.B., (1990) Phys. Rev. Lett., 64, p. 2350
- 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
- Muldoon, M.R., Mackay, R.S., Huke, J.P., Broomhead, D.S., (1993) Physica D, 65, p. 1
- Kinsey, L.C., (1993) Topology of Surfaces, , UTM Series (Springer Verlag, New York)
- Birman, J., Williams, R., (1983) Topology, 22, p. 47
- Holmes, P., Williams, R., (1985) Arch. Ration. Mech. Anal., 90, p. 115
- Deng, B., (1994) Int. J. Bifurcation Chaos Appl. Sci. Eng., 4, p. 823
- Mindlin, G.B., Gilmore, R., (1992) Physica D, 58, p. 229
- Gilmore, R., (1998) Rev. Mod. Phys., 70, p. 1455
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 [ ]