Geodesic
MAPS OF THE INTERVAL LJAPUNOV STABLE ON THE SET OF NONWANDERING POINTS
Acta mathematica Universitatis Comenianae, Tome 60 (1991) no. 1 
V. V. Fedorenko; J. Smital. MAPS OF THE INTERVAL LJAPUNOV STABLE ON THE SET OF NONWANDERING POINTS. Acta mathematica Universitatis Comenianae, Tome 60 (1991) no. 1. http://geodesic.mathdoc.fr/item/AMUC_1991_60_1_a1/
@article{AMUC_1991_60_1_a1,
     author = {V. V. Fedorenko and J. Smital},
     title = {MAPS {OF} {THE} {INTERVAL} {LJAPUNOV} {STABLE} {ON} {THE} {SET} {OF} {NONWANDERING} {POINTS}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {1991},
     volume = {60},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_1991_60_1_a1/}
}
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Voir la notice de l'article provenant de la source Comenius University

Any dynamical system generated by a continuous map of the compact unit interval $I$, is Ljapunov stable on the set of $\omega$-limit points iff it is Ljapunov stable on the set of non-wandering points. This and recent known results imply that Ljapunov stability on the set of non-wandering points characterizes maps non-chaotic in the sense of Li and Yorke.