首页   按字顺浏览 期刊浏览 卷期浏览 BIFURCATIONS OF CRITICAL PERIODS: CUBIC VECTOR FIELDS IN KAPTEYN'S NORMAL FORM
BIFURCATIONS OF CRITICAL PERIODS: CUBIC VECTOR FIELDS IN KAPTEYN'S NORMAL FORM

 

作者: B. Toni,  

 

期刊: Quaestiones Mathematicae  (Taylor Available online 1999)
卷期: Volume 22, issue 1  

页码: 43-61

 

ISSN:1607-3606

 

年代: 1999

 

DOI:10.1080/16073606.1999.9632058

 

出版商: Taylor & Francis Group

 

关键词: 34C;58F

 

数据来源: Taylor

 

摘要:

In this paper, we study the local bifurcations of critical periods in the neighbourhood of a non-degenerate centre of a cubic system in Kapteyn's normal form. We find that this system has no isochronous centres. We show that at most three local critical periods bifurcate from a centre at the origin. Moreover there exist perturbations which lead to the maximum number of critical periods.

 

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