Geodesic
AN EXAMPLE OF INFINITELY MANY SINKS FOR SMOOTH INTERVAL MAPS
Acta mathematica Universitatis Comenianae, Tome 61 (1992) no. 1 
A. F. Ivanov. AN EXAMPLE OF INFINITELY MANY SINKS FOR SMOOTH INTERVAL MAPS. Acta mathematica Universitatis Comenianae, Tome 61 (1992) no. 1. http://geodesic.mathdoc.fr/item/AMUC_1992_61_1_a0/
@article{AMUC_1992_61_1_a0,
     author = {A. F. Ivanov},
     title = {AN {EXAMPLE} {OF} {INFINITELY} {MANY} {SINKS} {FOR} {SMOOTH} {INTERVAL} {MAPS}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1992},
     volume = {61},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1992_61_1_a0/}
}
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Voir la notice de l'article provenant de la source Comenius University

We show, for arbitrary $\epsilon >0$, the existence of a $C^2-\epsilon$ unimodal interval map with infinitely many sinks outside a neighbourhood of the critical point. It is known that such $C^2$ maps do not exist.