Quadratic Maps with Maximal Oscillation

Franz Hofbauer and Gerhard Keller
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Franz Hofbauer: Universität Wien
Gerhard Keller: Universität Erlangen

A chapter in Algorithms, Fractals, and Dynamics, 1995, pp 89-94 from Springer

Abstract: Abstract Let (f t )o≤t≤1 denote the family of quadratic maps f t(x) = 2t(1- x 2) - 1 on [-1, 1]. An important aspect of the asymptotics of interates of a map f t is the behaviour of mass distributions along individual orbits.

Keywords: Periodic Point; Initial Segment; Topological Entropy; Invariant Probability Measure; Schwarzian Derivative (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4613-0321-3_7

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DOI: 10.1007/978-1-4613-0321-3_7

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