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

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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/}
}
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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/