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A two parameter family of piecewise linear transformations
with negative slope
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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