This article is cited in 3 papers

Overlapping iterated function systems on a segment

M. Barnsley^a, K. B. Igudesman<sup>b

a</sup> John Dedman Mathematical Sciences Institute Building 27, Australian National University, Canberra, Australia
^b Chair of Geometry, Kazan (Volga Region) Federal University, Kazan, Russia

Abstract: Overlapping iterated function systems generate families of injective mappings from the attractor onto shift-invariant subsets of the code space. In this paper we consider an example of such a family for the uniformly linear systems of iterated functions on the unit segment.

Keywords: iterated function systems, attractor, dynamical system.

UDC: 517.987

Received: 14.10.2011

 English version: Russian Mathematics (Izvestiya VUZ. Matematika), 2012, 56:12, 1–12

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