Tori and Klein bottles in four-dimensional chaotic flows

Physica D: Nonlinear Phenomena

Volumn 102, Issue 3-4, 1997, Pages 177-186

  Mindlin, G B ^a   Solari, H G ^a  

^a UNIVERSIDAD DE BUENOS AIRES   (Argentina)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039041245     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(96)00189-3     Document Type: Article

References (14)

1. G.B. Mindlin, H.G. Solari, M.A. Natiello, R. Gilmore and X. Hou, J. Nonlinear Sc. 1 (1991) 147.
2. M. Lefranc and P. Glorieux, Int. J. Bif. and Chaos 3 (1993) 643.
3. H.D.I. Abarbanel, R. Brown, J.J. Sidorowich and L. Sh. Tsimring, Rev. Modern Phys. 65 (1993) 1331.
4. Rossler, Phys. Lett. A 71 (1979) 155.
5. T. Uezu and Y. Aizawa, Progr. Theoret. Phys. 68 (1982) 1907.
6. G.B. Mindlin, H.G. Solari, R. Gilmore, X. Hou and N. Tufillaro, Phys. Rev. Lett. 64 (1990) 2350.
7. G.B. Mindlin and R. Gilmore, Physica D 58 (1992) 229.
8. L.C. Kinsey, Topology of Surfaces (Springer, UTM series, New York, 1993).
9. M.R. Muldoon, R.S. MacKay, J.P. Huke and D.S. Broomhead, Physica D 65 (1993) 1.
10. Knot diagrams and Braid theories in dimension 4, Proc. Third Int. 3 Workshop on Real and Complex Singularities, Sao Carlos 1994, ed. W.L. Marar, in press.
11. D. Armbruster, J. Guckenheimer and S. Kim, Phys. Lett. A 140 (1989) 416.
12. I. Schwartz, SIAM J. Numer. Anal. 20 (1983) 106.
13. L.H. Kauffman, Knots and Physics (World Scientific, Singapore, 1991).
14. D. Armbruster, in: Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems, eds. F.H. Busse and L. Kramers (1990) p. 385.