Bifurcation in complex quadratic polynomial and some folk theorems involving the geometry of bulbs of the mandelbrot set

Bifurcation in complex quadratic polynomial and some folk theorems involving the geometry of bulbs of the mandelbrot set

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&#...

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Main Author: Begum, Monzu Ara
Format: Others
Published: 2001
Online Access:http://spectrum.library.concordia.ca/1443/1/MQ64045.pdf
Begum, Monzu Ara <http://spectrum.library.concordia.ca/view/creators/Begum=3AMonzu_Ara=3A=3A.html> (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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spelling ndltd-LACETR-oai-collectionscanada.gc.ca-QMG.14432013-10-22T03:41:31Z Bifurcation in complex quadratic polynomial and some folk theorems involving the geometry of bulbs of the mandelbrot set Begum, Monzu Ara 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. 2001 Thesis NonPeerReviewed application/pdf http://spectrum.library.concordia.ca/1443/1/MQ64045.pdf Begum, Monzu Ara <http://spectrum.library.concordia.ca/view/creators/Begum=3AMonzu_Ara=3A=3A.html> (2001) Bifurcation in complex quadratic polynomial and some folk theorems involving the geometry of bulbs of the mandelbrot set. Masters thesis, Concordia University. http://spectrum.library.concordia.ca/1443/
collection NDLTD
format Others
sources NDLTD
description 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.
author Begum, Monzu Ara
spellingShingle Begum, Monzu Ara
Bifurcation in complex quadratic polynomial and some folk theorems involving the geometry of bulbs of the mandelbrot set
author_facet Begum, Monzu Ara
author_sort Begum, Monzu Ara
title Bifurcation in complex quadratic polynomial and some folk theorems involving the geometry of bulbs of the mandelbrot set
title_short Bifurcation in complex quadratic polynomial and some folk theorems involving the geometry of bulbs of the mandelbrot set
title_full Bifurcation in complex quadratic polynomial and some folk theorems involving the geometry of bulbs of the mandelbrot set
title_fullStr Bifurcation in complex quadratic polynomial and some folk theorems involving the geometry of bulbs of the mandelbrot set
title_full_unstemmed Bifurcation in complex quadratic polynomial and some folk theorems involving the geometry of bulbs of the mandelbrot set
title_sort bifurcation in complex quadratic polynomial and some folk theorems involving the geometry of bulbs of the mandelbrot set
publishDate 2001
url http://spectrum.library.concordia.ca/1443/1/MQ64045.pdf
Begum, Monzu Ara <http://spectrum.library.concordia.ca/view/creators/Begum=3AMonzu_Ara=3A=3A.html> (2001) Bifurcation in complex quadratic polynomial and some folk theorems involving the geometry of bulbs of the mandelbrot set. Masters thesis, Concordia University.
work_keys_str_mv AT begummonzuara bifurcationincomplexquadraticpolynomialandsomefolktheoremsinvolvingthegeometryofbulbsofthemandelbrotset
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