FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2000, VOLUME 6, NUMBER 2, PAGES 617-620

Periodic trajectories in a Denjoy counterexample

L. K. Bakalinsky

Abstract

View as HTML     View as gif image    View as LaTeX source

It is shown that for the parametric class of piecewise linear maps

ì
í
î
max (k1x+1,w),
x < 0,
min (k2x-1,w),
x ³ 0

(k1 and k2 are greater than one) the range of the parameter w, where iterations xn+1=f(xn) are nonperiodic, has zero Lebesgue measure.


All articles are published in Russian.

Main page Contents of the journal News Search

Location: http://mech.math.msu.su/~fpm/eng/k00/k002/k00218h.htm
Last modified: September 1, 2000