A two parameter family of piecewise linear transformations with negative slope
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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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Hofbauer, F.
(2017).
A two parameter family of piecewise linear transformations with negative slope.
Acta Mathematica Universitatis Comenianae, 81(1), 15-30.
Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/751/506
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