References
[B-F] L. Block, J. Franke,Existence of periodic points of maps of S 1, Invent Math. 22 (1973) pp. 69–73.
[C-F] P. Collet, J. P. Eckmann,Iterated maps on the interval as dynamical systems, Birkhauser, Boston 1980.
[Ch-G-Tr] A-Chenciner, J. M. Gambaudo, Ch. Tresser,Une remarque sur la structure des endomporphismes de degre 1 du cercle, CRASP t. 299, Ser. 1, no 5 (1984) pp. 145–148.
[K] H. Kollmer,On hyperbolic attractors of codimension one, Lecture Notes in Math 597 (1977), pp. 330–334.
[M] M. Misiurewicz,Rotation interval for a class of maps of the real line into itself, Ergodic theory and dyn. syst. Vol. 6.1 (1986) pp. 117–132.
[N-P-T] S. Newhouse, J. Palis, F. Takens,Bifurcations and stability of families of diffeomorphisms, Publications Math. IHES No 57, (1983), pp. 5–72.
[P-T] J. Palis, F. Takens,Hyperbolicity and the creation of homoclinic orbits, preprint (1985).
[Pl] R. V. Plykin,On hyperbolic atractors for diffeomorphisms Usp. Math. Nauk 35.3 (1980) pp. 94–104 (in Russian).
[Prz] F. Przytycki,On ω-stability and structural stability of endomorphisms satisfying Axiom A, Studia Math. 60 (1977) pp. 61–77.
[T] F. Takens,Partially hyperbolic fixed points, Topology Vol. 10 (1971) pp. 133–147.
[W1] R. F. Williams,The DA maps of Smale and structural stability, Global Analysis, Proc. Symp. Pure Math. 14 (1970), AMS, pp. 329–334.
[W2] R. F. Williams,Expanding attractors, Publ. Math. IHES, 43 (1974) pp. 169–203.
[Y] J.-Ch. Yoccoz,Il n'y a pas de contre-exemple de Denjoy analytique, C. R. A. S. P. t. 298, Ser I, No. 7 (1984) pp. 141–144.
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Most of this paper was done during my stat at IMPA in 1979/1980. I want to express my gratitude for inviting me there and care during my stay. I miss the beautiful Brasil sometimes
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Przytycki, F. Chaos after bifurcation of a morse-smale diffeomorphism through a one-cycle saddle-node and interations of multivalued mappings of an interval and a circle. Bol. Soc. Bras. Mat 18, 29–79 (1987). https://doi.org/10.1007/BF02584831
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DOI: https://doi.org/10.1007/BF02584831