Time delay embeddings and the structure of flows

The default choice to create a multivariate environment for a scalar time series is the time delay technique. We studied the changes in the topological organization of the periodic orbits within an embedded flow when different time delay parameters are used. Inequivalence between the reconstructed f...

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Autor principal: Mancho, A.M
Otros Autores: Duarte, Alejandro Adrián, Mindlin, G.B
Formato: Capítulo de libro
Lenguaje:Inglés
Publicado: Elsevier 1996
Acceso en línea:Registro en Scopus
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245 1 0 |a Time delay embeddings and the structure of flows 
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504 |a Tufillaro, N.B., Solari, H.G., Gilmore, R., (1990) Phys. Rev. A, 41, p. 5717 
504 |a Mindlin, G.B., Solari, H.G., Gilmore, R., Hou, X., Tufillaro, N.B.N.B., (1990) Phys. Rev. Lett., 64, p. 2350 
504 |a Mindlin, G.B., Solari, H.G., Natiello, M., Gilmore, R., Hou, X., (1991) J. Nonlinear Sci., 1, p. 147 
504 |a Papoff, F., Arimondo, E., Fioretto, F., Mindlin, G.B., Solari, H.G., Gilmore, R., (1992) Phys. Rev. Lett., 68, p. 1128 
504 |a Lefranc, M., Glorieux, P., (1993) Int. J. Bif. Chaos, 3, p. 643 
504 |a Lefranc, M., Glorieux, P., Papoff, F., Molesti, F., Arimondo, E., (1994) Phys. Rev. Lett., 73, p. 1364 
504 |a Cvitanovic, P., Gunaratne, G.H., Procaccia, I., (1988) Phys. Rev. A, 38, p. 1503 
504 |a Gunaratne, G.H., Lindsay, P.S., Vinson, M.J., (1989) Phys. Rev. Lett., 63, p. 1 
504 |a Huerta, M., Krmpotic, D., Mindlin, G.B., Mancini, H., Maza, D., Perez-Garcia, C., Dynamics of patterns in a Benard-Marangoni experiment (1996) Physica D, , in press 
504 |a Ondarcuhu, T., Mindlin, G.B., Mancini, H.L., García, C., (1994) J. Phys. Condens. Matter A, 6, p. 427 
504 |a Mindlin, G.B., Solari, H.G., (1995) Phys. Rev. E, 54, p. 1497 
504 |a Rösler, O.E., (1976) Phys. Lett. A, 57 (5), p. 397 
504 |a Packard, N., Crutchfield, J., Shaw, R., (1980) Phys. Rev. Lett., 45, p. 712 
504 |a Takens, F., Detecting strange attractors in turbulence (1981) Lecture Notes in Mathematics, 898 
504 |a Whitney, H., (1936) Ann. Math., 37, p. 654 
504 |a Kauffman, L.H., (1991) Knots and Physics, , World Scientific, Singapore 
504 |a Gambaudo, J.M., Van Strien, S., Tresser, C., (1989) Ann. Inst. Henri Poincaré A, 49, p. 335 
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520 3 |a The default choice to create a multivariate environment for a scalar time series is the time delay technique. We studied the changes in the topological organization of the periodic orbits within an embedded flow when different time delay parameters are used. Inequivalence between the reconstructed flows for different parameters was found for a forced oscillator and the Rössler system.  |l eng 
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