Overlapping iterated function systems on a segment

M. Barnsley; K. B. Igudesman

doi:10.3103/S1066369X12120018

Overlapping iterated function systems on a segment

M. Barnsley^*, K. B. Igudesman

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1-12
Number of pages	12
Journal	Russian Mathematics
Volume	56
Issue number	12
DOIs	https://doi.org/10.3103/S1066369X12120018
Publication status	Published - Dec 2012

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title = "Overlapping iterated function systems on a segment",

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 = "Attractor, Dynamical system, Iterated function systems",

author = "M. Barnsley and Igudesman, {K. B.}",

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AB - 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.

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KW - Dynamical system

KW - Iterated function systems

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Overlapping iterated function systems on a segment

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