A COUNTEREXAMPLE TO A STATEMENT CONCERNING LYAPUNOV STABILITY
P. Sindelarova
Abstract.
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.
Compressed Postscript 
