Begum, Monzu Ara (2001) Bifurcation in complex quadratic polynomial and some folk theorems involving the geometry of bulbs of the mandelbrot set. Masters thesis, Concordia University.
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Abstract
The Mandelbrot set M is a subset of the parameter plane for iteration of the complex quadratic polynomial Q c ( z ) = z 2 + c . M consists of those c values for which the orbit of 0 is bounded. This set features a basic cardioid shape from which hang numerous 'bulbs' or 'decorations'. Each of these bulbs is a large disk that is directly attached to the main cardioid together with numerous other smaller bulbs and a prominent 'antenna'. In this thesis we study the geometry of bulbs and some 'folk theorems' about the geometry of bulbs involving spokes of the antenna.
| Divisions: | Concordia University > Faculty of Arts and Science > Mathematics and Statistics |
|---|---|
| Item Type: | Thesis (Masters) |
| Authors: | Begum, Monzu Ara |
| Pagination: | vi, 62 leaves : ill. ; 29 cm. |
| Institution: | Concordia University |
| Degree Name: | M.Sc. |
| Program: | Mathematics |
| Date: | 2001 |
| Thesis Supervisor(s): | Gora, Pawel |
| Identification Number: | QA 614.86 B45 2001 |
| ID Code: | 1443 |
| Deposited By: | Concordia University Library |
| Deposited On: | 27 Aug 2009 17:19 |
| Last Modified: | 13 Jul 2020 19:49 |
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