A COUNTEREXAMPLE TO A STATEMENT CONCERNING LYAPUNOV STABILITY
Acta mathematica Universitatis Comenianae, Tome 70 (2001) no. 2
P. Sindelarova. A COUNTEREXAMPLE TO A STATEMENT CONCERNING LYAPUNOV STABILITY. Acta mathematica Universitatis Comenianae, Tome 70 (2001) no. 2. http://geodesic.mathdoc.fr/item/AMUC_2001_70_2_a10/
@article{AMUC_2001_70_2_a10,
     author = {P. Sindelarova},
     title = {A {COUNTEREXAMPLE} {TO} {A} {STATEMENT} {CONCERNING} {LYAPUNOV} {STABILITY}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2001},
     volume = {70},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2001_70_2_a10/}
}
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Voir la notice de l'article provenant de la source Comenius University

We find a class of weakly unimodal $C^\infty$ maps of an interval with zero topological entropy such that no such map f is Lyapunov stable on the set Per(f) of its periodic points. This disproves a statement published in several books and papers, e.g., by V. V. Fedorenko, S.F. Kolyada, A. N. Sharkovsky, A. G. Sivak and J. Smital.