Geodesic
On the absence of cycles for unimodal mappings of the square
Matematičeskie zametki, Tome 63 (1998) no. 3, pp. 370-378.

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

Unimodal 2-endomorphisms of a special kind of the unit square are considered. Conditions for the absence of periodic points are presented. 
@article{MZM_1998_63_3_a5,
     author = {V. A. Dobrynskii},
     title = {On the absence of cycles for unimodal mappings of the square},
     journal = {Matemati\v{c}eskie zametki},
     pages = {370--378},
     publisher = {mathdoc},
     volume = {63},
     number = {3},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1998_63_3_a5/}
}
TY  - JOUR
AU  - V. A. Dobrynskii
TI  - On the absence of cycles for unimodal mappings of the square
JO  - Matematičeskie zametki
PY  - 1998
SP  - 370
EP  - 378
VL  - 63
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MZM_1998_63_3_a5/
LA  - ru
ID  - MZM_1998_63_3_a5
ER  - 
%0 Journal Article
%A V. A. Dobrynskii
%T On the absence of cycles for unimodal mappings of the square
%J Matematičeskie zametki
%D 1998
%P 370-378
%V 63
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MZM_1998_63_3_a5/
%G ru
%F MZM_1998_63_3_a5
V. A. Dobrynskii. On the absence of cycles for unimodal mappings of the square. Matematičeskie zametki, Tome 63 (1998) no. 3, pp. 370-378. http://geodesic.mathdoc.fr/item/MZM_1998_63_3_a5/

[1] Dobrynskii V. A., “Kriticheskie mnozhestva i unimodalnye otobrazheniya kvadrata”, Dokl. RAN, 341:4 (1995), 442–445 | MR | Zbl

[2] Dobrynskii V. A., “Kriticheskie mnozhestva i unimodalnye otobrazheniya kvadrata”, Matem. zametki, 58:5 (1995), 669–680 | MR | Zbl

[3] Gumowski I., Mira C., Dynamique Chaotique. Transformations Ponctuelles. Transition Ordre–Desordre, Editions Cepadues, Toulouse, 1980 | Zbl

[4] Dobrynskii V. A., Svoistva tsiklov otobrazhenii, porozhdaemykh raznostnymi uravneniyami vtorogo poryadka s nelineinostyu tipa proizvedenie, Preprint, IM NAN Ukrainy, Kiev, 1994