Imperial College London
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Dr Dan Goodman

Faculty of Engineering, Department of Electrical and Electronic Engineering

Senior Lecturer
 
 
 
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Contact

 

+44 (0)20 7594 6264d.goodman Website

 
 
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Location

 

1001Electrical EngineeringSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Fletcher:2010:10.1090/S1088-4173-2010-00219-5,
author = {Fletcher, A and Goodman, D},
doi = {10.1090/S1088-4173-2010-00219-5},
journal = {Conformal Geometry and Dynamics},
pages = {322--336},
title = {Quasiregular mappings of polynomial type in R<sup>2</sup>},
url = {http://dx.doi.org/10.1090/S1088-4173-2010-00219-5},
volume = {14},
year = {2010}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - Complex dynamics deals with the iteration of holomorphic functions. As is well known, the first functions to be studied which gave non-trivial dynamics were quadratic polynomials, which produced beautiful computer generated pictures of Julia sets and the Mandelbrot set. In the same spirit, this article aims to study the dynamics of the simplest non-trivial quasiregular mappings. These are mappings in R2 which are a composition of a quadratic polynomial and an affine stretch. © 2010 American Mathematical Society.
AU  - Fletcher,A
AU  - Goodman,D
DO  - 10.1090/S1088-4173-2010-00219-5
EP  - 336
PY  - 2010///
SP  - 322
TI  - Quasiregular mappings of polynomial type in R<sup>2</sup>
T2  - Conformal Geometry and Dynamics
UR  - http://dx.doi.org/10.1090/S1088-4173-2010-00219-5
VL  - 14
ER  -
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