Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 617-620
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L. K. Bakalinski. Periodic trajectories in a Denjoy counterexample. Fundamentalʹnaâ i prikladnaâ matematika, Tome 6 (2000) no. 2, pp. 617-620. http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a17/
@article{FPM_2000_6_2_a17,
author = {L. K. Bakalinski},
title = {Periodic trajectories in {a~Denjoy} counterexample},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {617--620},
year = {2000},
volume = {6},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a17/}
}
TY - JOUR
AU - L. K. Bakalinski
TI - Periodic trajectories in a Denjoy counterexample
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 2000
SP - 617
EP - 620
VL - 6
IS - 2
UR - http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a17/
LA - ru
ID - FPM_2000_6_2_a17
ER -
%0 Journal Article
%A L. K. Bakalinski
%T Periodic trajectories in a Denjoy counterexample
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2000
%P 617-620
%V 6
%N 2
%U http://geodesic.mathdoc.fr/item/FPM_2000_6_2_a17/
%G ru
%F FPM_2000_6_2_a17
It is shown that for the parametric class of piecewise linear maps $$ f(x)=\begin{cases} \max(k_1x+1,w), 0, \\ \min(k_2x-1,w), \geq0 \end{cases} $$ ($k_1$ and $k_2$ are greater than one) the range of the parameter $w$, where iterations $x_{n+1}=f(x_n)$ are nonperiodic, has zero Lebesgue measure.
