摘要

In this paper we prove the existence of a Cantor-Mandelbrot-Sierpinski tree (a CMS tree) in the parameter plane for the family of rational maps z(2) + lambda/z(2). This tree consists of a main trunk that is a Cantor necklace. Infinitely many Cantor necklaces branch off on either side of the main trunk, and between each of these branches is a copy of a Mandelbrot set.

  • 出版日期2014-2