A Two Parameter Family of Piecewise Linear Transformations with Negative Slope

نویسنده

  • F. HOFBAUER
چکیده

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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تاریخ انتشار 2012