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A two parameter family of piecewise linear transformations with negative slope

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Author(s): F. Hofbauer

Journal: Acta Mathematica Universitatis Comenianae
ISSN 0862-9544

Volume: LXXXI;
Issue: 1;
Start page: 15;
Date: 2012;
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Keywords: Piecewise linear map | nonwandering set

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.
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