Abstract:
A chaotic three-dimensional flow can be described through the topological organization of the periodic orbits shadowed by an attractor. If only a scalar variable is available, this description requires the embedding of the data. In this work we report an example in which the reconstructed topology of the flow depends on the chosen embedding. © 1995 The American Physical Society.
Referencias:
- Tufillaro, N.B., Solari, H.G., Gilmore, R., (1990) Phys. Rev. A, 41, p. 5717
- Mindlin, G.B., Solari, H.G., Gilmore, R., Hou, X., Tufillaro, N.B., (1990) Phys. Rev. Lett., 64, p. 2350
- Mindlin, G.B., Solari, H.G., Natiello, N., Gilmore, R., Hou, X., (1991) J. Nonlinear Sci., 1, p. 147
- Cvitanovic, P., Gunaratne, G.H., Procaccia, I., (1988) Phys. Rev. A, 38, p. 1503
- Gunaratne, G.H., Lindsay, P.S., Vinson, M.J., (1989) Phys. Rev. Lett., 63, p. 1
- Birman, J.S., Williams, R.F., (1983) Topology, 22, p. 47
- Holmes, P., (1988) New Directions in Dynamical Systems, p. 47. , edited by, T. Bedford, J. Swift, Cambridge University Press, Cambridge, England
- Papoff, F., Arimondo, E., Fioretto, F., Mindlin, G.B., Solari, H.G., Gilmore, R., (1992) Phys. Rev. Lett., 68, p. 1128
- Lefranc, M., Glorieux, P., TOPOLOGICAL ANALYSIS OF CHAOTIC SIGNALS FROM A CO2LASER WITH MODULATED LOSSES (1993) International Journal of Bifurcation and Chaos, 3, p. 643
- Leblanc, M., Glorieux, P., Papoff, F., Molesti, F., Arimondo, E., (1994) Phys. Rev. Lett., 73, p. 1364
- Ondarcuhu, T., Mindlin, G.B., Mancini, H.L., Pérez-García, C., (1994) J. Phys.: Condens. Matter, 6, p. A427
- Ondarcuhu, T., Mindlin, G.B., Mancini, H.L., Pérez-García, C., Dynamical patterns in Bénard-Marangoni convection in a square container (1993) Physical Review Letters, 70, p. 3892
- Kauffman, L.H., (1991) Knots and Physics, , World Scientific, Singapore
- Gambaudo, J.M., Van Strien, S., Tresser, C., (1989) Ann. Inst. Henri Poincaré A, 49, p. 335
- Solari, H.G., Gilmore, R., (1988) Phys. Rev. A, 37, p. 3097
- H. Mancini, D. Maza, C. Perez-García, G. B. Mindlin, and M. Huerta (unpublished); Whitney, H., (1936) Ann. Math., 37, p. 654
- Packard, N., Crutchfield, J., Shaw, R., (1980) Phys. Rev. Lett., 45, p. 712
- Takens, F., (1981) Detecting Strange Attractors in Turbulence, Lecture Notes in Mathematics Vol. 898, , Springer-Verlag, Berlin
- Sauer, T., Yorke, J.A., Casdagli, M., (1991) J. Stat. Mech., 65, p. 579
- Abarbanel, H.D.I., Sidorowich, J.J., Tsimring, L. Sh., (1993) Rev. Mod. Phys., 65, p. 1331. , Brown
Citas:
---------- APA ----------
Mindlin, G.B. & Solari, H.G.
(1995)
. Topologically inequivalent embeddings. Physical Review E, 52(2), 1497-1502.
http://dx.doi.org/10.1103/PhysRevE.52.1497---------- CHICAGO ----------
Mindlin, G.B., Solari, H.G.
"Topologically inequivalent embeddings"
. Physical Review E 52, no. 2
(1995) : 1497-1502.
http://dx.doi.org/10.1103/PhysRevE.52.1497---------- MLA ----------
Mindlin, G.B., Solari, H.G.
"Topologically inequivalent embeddings"
. Physical Review E, vol. 52, no. 2, 1995, pp. 1497-1502.
http://dx.doi.org/10.1103/PhysRevE.52.1497---------- VANCOUVER ----------
Mindlin, G.B., Solari, H.G. Topologically inequivalent embeddings. 1995;52(2):1497-1502.
http://dx.doi.org/10.1103/PhysRevE.52.1497