zbMATH — the first resource for mathematics

Periodic orbits, externals rays and the Mandelbrot set: an expository account. (English) Zbl 0941.30016
Flexor, Marguerite (ed.) et al., Géométrie complexe et systèmes dynamiques. Colloque en l’honneur d’Adrien Douady à l’occasion du soixantième anniversaire, Orsay, France, du 3 au 8 juillet 1995. Paris: Astérisque, Astérisque. 261, 277-333 (2000).
Summary: A presentation of some fundamental results from the Douady-Hubbard theory of the Mandelbrot set, based on the idea of “orbit portrait”: the pattern of external rays landing on a periodic orbit for a quadratic polynomial map.
For the entire collection see [Zbl 0932.00046].

30D05 Functional equations in the complex plane, iteration and composition of analytic functions of one complex variable
Full Text: arXiv