Abstract:
We report the analysis of branched manifolds through homologies, in order to extend the range of applicability of the topological approach to the analysis of chaotic data. Analytic and numerical cases are discussed. © 2001 The American Physical Society.
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 Naturales, Universidad de Buenos Aires, Pab I, Ciudad Universitaria, Casilla de Correo 1428, Buenos Aires, Argentina
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Año: | 2001
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Volumen: | 64
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Número: | 3
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Página de inicio: | 9
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DOI: |
http://dx.doi.org/10.1103/PhysRevE.64.036209 |
Título revista: | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
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Título revista abreviado: | Phys Rev E.
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ISSN: | 1063651X
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Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1063651X_v64_n3_p9_Sciamarella |
Referencias:
- Abarbanel, H.D.I., Brown, R., Sidorowich, J.J., Sh. Tsimring, L., (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
- 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 Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 64(3), 9.
http://dx.doi.org/10.1103/PhysRevE.64.036209---------- CHICAGO ----------
Sciamarella, D., Mindlin, G.B.
"Unveiling the topological structure of chaotic flows from data"
. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics 64, no. 3
(2001) : 9.
http://dx.doi.org/10.1103/PhysRevE.64.036209---------- MLA ----------
Sciamarella, D., Mindlin, G.B.
"Unveiling the topological structure of chaotic flows from data"
. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, vol. 64, no. 3, 2001, pp. 9.
http://dx.doi.org/10.1103/PhysRevE.64.036209---------- VANCOUVER ----------
Sciamarella, D., Mindlin, G.B. Unveiling the topological structure of chaotic flows from data. Phys Rev E. 2001;64(3):9.
http://dx.doi.org/10.1103/PhysRevE.64.036209