Geodesic
Dynamics of skew products of interval maps
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 72 (2017) no. 1, pp. 101-178

Voir la notice de l'article provenant de la source Math-Net.Ru

In the study of dynamical systems in the class of skew products, the present paper involves the direction most closely connected with advances in one-dimensional dynamics. The main results obtained over the last decades on the dynamics of skew products of interval maps are surveyed. Included here are new results on the structure of the non-wandering set and the centre for $C^1$-smooth skew products of interval maps that are endomorphisms whose quotient maps have complicated dynamics. These results are used to describe the space of skew products of this type. Bibliography: 125 titles.
Keywords: skew product of interval maps, non-wandering set, depth of the centre, stability as a whole of a family of fibre maps, $\Omega$-stability, dense stability as a whole of a family of fibre maps.
Mots-clés : centre 
@article{RM_2017_72_1_a2,
     author = {L. S. Efremova},
     title = {Dynamics of skew products of interval maps},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {101--178},
     publisher = {mathdoc},
     volume = {72},
     number = {1},
     year = {2017},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/RM_2017_72_1_a2/}
}
TY  - JOUR
AU  - L. S. Efremova
TI  - Dynamics of skew products of interval maps
JO  - Trudy Matematicheskogo Instituta imeni V.A. Steklova
PY  - 2017
SP  - 101
EP  - 178
VL  - 72
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/RM_2017_72_1_a2/
LA  - en
ID  - RM_2017_72_1_a2
ER  - 
%0 Journal Article
%A L. S. Efremova
%T Dynamics of skew products of interval maps
%J Trudy Matematicheskogo Instituta imeni V.A. Steklova
%D 2017
%P 101-178
%V 72
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/RM_2017_72_1_a2/
%G en
%F RM_2017_72_1_a2
L. S. Efremova. Dynamics of skew products of interval maps. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Tome 72 (2017) no. 1, pp. 101-178. http://geodesic.mathdoc.fr/item/RM_2017_72_1_a2/