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.
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.|
|Degree Name:||Theses (M.Sc.)|
|Program:||Mathematics and Statistics|
|Thesis Supervisor(s):||Gora, Pawel|
|Deposited By:||Concordia University Libraries|
|Deposited On:||27 Aug 2009 13:19|
|Last Modified:||08 Dec 2010 10:20|
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