Geodesic
Overlapping iterated function systems on a~segment
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2012), pp. 3-15

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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. 
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     author = {M. Barnsley and K. B. Igudesman},
     title = {Overlapping iterated function systems on a~segment},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {3--15},
     publisher = {mathdoc},
     number = {12},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2012_12_a0/}
}
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M. Barnsley; K. B. Igudesman. Overlapping iterated function systems on a~segment. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 12 (2012), pp. 3-15. http://geodesic.mathdoc.fr/item/IVM_2012_12_a0/