Similarity between the dynamic and parameter spaces in cubic mappings (Q2714132)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Similarity between the dynamic and parameter spaces in cubic mappings |
scientific article; zbMATH DE number 1603469
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Similarity between the dynamic and parameter spaces in cubic mappings |
scientific article; zbMATH DE number 1603469 |
Statements
11 June 2001
0 references
Mandelbrot set
0 references
Misiurewicz point
0 references
Julia sets
0 references
similarity theorem
0 references
Similarity between the dynamic and parameter spaces in cubic mappings (English)
0 references
The authors study the similarity between the dynamic space (the Julia sets) and the parameter space of cubic mappings. They apply the similarity theorem proved by \textit{L. Tan} to the case of a cubic mapping [Commun. Math. Phys. 134, 587-617 (1990; Zbl 0726.58026)]. Here the authors demonstrate the asymptotic similarity property between the dynamic and parameter space as well.
0 references
