Degenerated singular cycles of inclination-flip type

Annales Scientifiques de l'Ecole Normale Superieure

Volumn 31, Issue 1, 1998, Pages 1-16

  Morales, C A ^a   Pacifico M J ^a  

^a FEDERAL UNIVERSITY OF RIO DE JANEIRO   (Brazil)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0032472089     PISSN: 00129593     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0012-9593(98)80016-5     Document Type: Article

References (9)

1. [BLMP] R. BAMÓN, R. LABARCA, R. MAÑÉ and M. J. PACÍFICO, The explosion of Singular Cycles (Publ. Math. IHES, Vol. 78, 1993, pp. 207-232).
2. [HKK] A. J. HOMBURG, H. KOKUBU and H. KRUPA, The cusp horseshoe and its bifurcations in the unfolding of an inclination-flip homoclinic orbits (Erg. Th. & Dyn. Sys., Vol. 14, 1994, pp. 667-693).
3. [HPS] M. HIRSCH, C. C. PUGH and M. SHUB, Invariant Manifolds, LNM 583.
4. [M] C. A. MORALES, On inclination-flip homoclinic orbit associated to a saddle-node equilibria (Bol. Soc. Bras. Mat., Vol. 27, 1996, pp. 145-160).
5. [N] V. NAUDOT, Hyperbolic Dynamic nearby an unfolded degenerate homoclinic orbit. To appear in Erg. Th. & Dyn. Sys.
6. e sér., Vol. 26, 1994, pp. 691-700).
7. [PT] J. PALIS and F. TAKENS, Hyperbolicity and sensitive chaotic dynamic at homoclinic bifurcation, Cambridge University Press, Vol. 35, 1992.
8. [Ry] M. R. RYCHLIC, Lorenz attractor through Silnikov-type bifurcations (Erg. Th. & Dyn. Sys., Vol. 10, 1990, pp. 793-821).
9. [S] B. SAN MARTIN, Contracting Singular Cycles, Preprint IMPA to appear.