ACTA MATHEMATICA
UNIVERSITATIS COMENIANAE




Vol. LXXXI, 1 (2012)
p. 15 - 30

A two parameter family of piecewise linear transformations
with negative slope


F. Hofbauer

Received: February 1, 2011;   Accepted: July 12, 2011



Abstract.   We study a two parameter family of piecewise linear transformations on the interval [0, 1] which have negative slope. We show that the nonwandering set consists of finitely many periodic orbits and an invariant set L which is topologically transitive and the disjoint union of finitely many closed intervals. We determine the number of these intervals.  

Keywords:  Piecewise linear map; nonwandering set.  

AMS Subject classification: Primary:  37E05;   Secondary: 37B10



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Acta Mathematica Universitatis Comenianae
ISSN 0862-9544   (Printed edition)

Faculty of Mathematics, Physics and Informatics
Comenius University
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