Piecewise linear interval maps both expanding and contracting

Authors: Boudourides M. A.¹; Fotiades N. A.²

Source: Dynamics and Stability of Systems, Volume 15, Number 4, 1 December 2000 , pp. 343-351(9)

Publisher: Taylor and Francis Ltd

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Abstract:

The dynamics of piecewise linear interval maps is studied with two branches, one expanding and one contracting. It is proved that such a map either has a periodic attractor or it is eventually expanding. In the latter case there exists an absolutely continuous invariant measure.

Language: English

Document Type: Research article

Affiliations: 1: University of Patras 2: University of Thrace

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