SOME DYNAMICAL PROPERTIES OF QUADRATIC RATIONAL MAPS

Citation:

Yin Yongcheng.SOME DYNAMICAL PROPERTIES OF QUADRATIC RATIONAL MAPS[J].Chinese Annals of Mathematics B,1994,15(3):373~384
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Authors:

Yin Yongcheng;

Foundation:

Project supported by the National Natural Science Foundation of China
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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