An analytical study of bifurcations generated by some iterated function systems (Q1125141)
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scientific article; zbMATH DE number 1371661
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | An analytical study of bifurcations generated by some iterated function systems |
scientific article; zbMATH DE number 1371661 |
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An analytical study of bifurcations generated by some iterated function systems (English)
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29 November 1999
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The authors show that the bifurcations generated by some iterated function systems observed numerically by \textit{S. Bahar} [Chaos Solitons Fractals, 8, No. 3, 303-312 (1997; Zbl 0920.58033)] have an analytical explanation. Here they present an extension of their previous study of the two-dimensional ase and prove that by a similarity transformation the considered map can be reduced to two distinctive maps, such that each one determines the behaviour of the entire system.
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bifurcation
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iterated function system
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