Find in Library
Search millions of books, articles, and more
Indexed Open Access Databases
The size of Mandelbrot bulbs
oleh: A.C. Fowler, M.J. McGuinness
| Format: | Article |
|---|---|
| Diterbitkan: | Elsevier 2019-09-01 |
Deskripsi
We provide an analytic estimate for the size of the bulbs adjoining the main cardioid of the Mandelbrot set. The bulbs are approximate circles, and are associated with the stability regions in the complex parameter μ-space of period-q orbits of the underlying map z→z2−μ. For the (p, q) orbit with winding number p/q, the associated stability bulb is an approximate circle with radius 1q2sinπpq. Keywords: Mandelbrot set, Mandelbrot bulbs