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Structural stability of exponential functions described by orbit of zero*

 

作者: Weiyuan Qiu,   Yongcheng Yin,  

 

期刊: Complex Variables, Theory and Application: An International Journal  （Taylor Available online 1995）
卷期: Volume 27, issue 4  

页码: 299-307

 

ISSN:0278-1077

 

年代: 1995

 

DOI:10.1080/17476939508814825

 

出版商: Gordon and Breach Science Publishers

 

关键词: 58F23;30D05

 

数据来源: Taylor

 

摘要:

In this paper, the structural stability and theJ-stability of exponential functionsare considered. It is proved that the set of structurally unstableEλis exactly the boundary of the set ofEλwith zero orbit escaping to infinite and is also the closure of the set ofEλwith eventually periodic zero orbit. Moreover, a criterion for theJ-stability ofEλand polynomials is obtained.

 

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