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SOME DYNAMICAL PROPERTIES OF QUADRATIC RATIONAL MAPS |
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Citation: |
Yin Yongcheng.SOME DYNAMICAL PROPERTIES OF QUADRATIC RATIONAL MAPS[J].Chinese Annals of Mathematics B,1994,15(3):373~384 |
Page view: 1039
Net amount: 973 |
Authors: |
Yin Yongcheng; |
Foundation: |
Project supported by the National Natural Science
Foundation of China |
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Abstract: |
This paper studies the dynamics of the analytic family
$ z + 1/z + b$ and describes the topology of the parameter space, structural
stability and $J$-stability. The mapping class group of
almost all maps of the above family is determined. |
Keywords: |
Complex dynamics, Julia set, Structural stability,
$J$-stability,Mapping class group. |
Classification: |
58F08, 30D05 |
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