文章基本信息

标题：Bifurcation of limit cycles at degenerate singular point and infinity in a septic system
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作者：Yusen Wu ; Feng Li
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2013
卷号：2013
期号：1
页码：5
DOI：10.1186/1687-1847-2013-5
语种：English
出版社：Hindawi Publishing Corporation
摘要：In this paper, the problem of bifurcation of limit cycles from degenerate singular point and infinity in a class of septic polynomial differential systems is investigated. Using the computer algebra system Mathematica, the limit cycle configurations of { ( 8 ) , 3 } and { ( 3 ) , 6 } are obtained under synchronous perturbation at degenerate singular point and infinity. To our knowledge, up to now, this is the first time that the problem of limit cycles bifurcated from degenerate singular point and infinity under synchronous perturbed conditions in a septic system has been investigated. MSC:34C05, 34C07.
关键词：degenerate singular point ; infinity ; bifurcation of limit cycles ; septic system