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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