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

[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