A new proof of a theorem of Hubbard and Oberste-Vorth (Q284884)
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scientific article; zbMATH DE number 6581889
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new proof of a theorem of Hubbard and Oberste-Vorth |
scientific article; zbMATH DE number 6581889 |
Statements
A new proof of a theorem of Hubbard and Oberste-Vorth (English)
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18 May 2016
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\textit{J. H. Hubbard} and \textit{R. W. Oberste-Vorth} [NATO ASI Ser., Ser. C, Math. Phys. Sci. 464, 89--132 (1995; Zbl 0874.54037)] have given a characterization for the Julia set for the complex Hénon mappings. The authors of the article under review apply the Banach Contraction Principle to give a new, simple proof with a novel construction of function spaces. Moreover, further dependence of Julia sets on the parameters of Hénon mappings is obtained.
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complex Hénon maps
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Julia sets
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solenoid
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inductive and projective limits
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