Name
Abstract | ||
|---|---|---|
We study the family of complex maps given by F-lambda(z) = z(n) + lambda/z(n) + c where n >= 3 is an integer lambda. is an arbitrarily small complex parameter, and c is chosen to be the center of a hyperbolic component of the corresponding Multibrot set. We focus on the structure of the Julia set for a map of this form generalizing a result of McMullen. We prove that it consists of a countable collection of Cantor sets of closed curves and an uncountable number of point components. |
Year | DOI | Venue |
|---|---|---|
2008 | 10.1142/S0218127408021725 | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS |
Keywords | DocType | Volume |
Complex dynamics, Julia set, Mandelbrot set, Cantor set of circles, McMullen domain, symbolic dynamics | Journal | 18 |
Issue | ISSN | Citations |
8 | 0218-1274 | 2 |
PageRank | References | Authors |
1.21 | 1 | 4 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Paul Blanchard | 1 | 2 | 1.21 |
| Robert L. Devaney | 2 | 9 | 6.97 |
| Antonio Garijo | 3 | 2 | 2.23 |
| Elizabeth D. Russell | 4 | 3 | 1.64 |