A new proof of a theorem of Hubbard and Oberste-Vorth
| Autor: | Remus Radu, Raluca Tanase |
|---|---|
| Jazyk: | angličtina |
| Předmět: |
Discrete mathematics
Mathematics::Dynamical Systems Dynamical systems theory Mathematics::Complex Variables Operator (physics) Applied Mathematics 010102 general mathematics Hyperbolic polynomial Fixed point 01 natural sciences Julia set Image (mathematics) Differential geometry 0103 physical sciences 010307 mathematical physics Geometry and Topology 0101 mathematics Solenoid (mathematics) Mathematics |
| Zdroj: | Fixed Point Theory and Applications. 2016(1) |
| ISSN: | 1687-1812 |
| DOI: | 10.1186/s13663-016-0528-1 |
| Popis: | We give a new proof of a theorem of Hubbard and Oberste-Vorth (Real and Complex Dynamical Systems, pp. 89-132, 1995) for Henon maps that are perturbations of a hyperbolic polynomial and obtain the Julia set $J^{+}$ inside a polydisk as the image of the fixed point of a contracting operator. We also give different characterizations of the Julia sets J and $J^{+}$ which prove useful for later applications. |
| Databáze: | OpenAIRE |
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