摘要
Bogdanov-Takens系统在分岔理论中占有极其重要的地位,关于它的深入研究,对常微分方程分岔理论的发展起到了一定的促进作用.本文通过分析研究得出结论:在讨论余维3的退化鞍点型Bogdanov-Takens系统的分岔现象时,共振条件由b0(ε)=1减弱为b0(0)=1后,分岔现象保持不变.
The Bogdanov-Takens system plays a very important role in bifurcation theory. The further studies about it have encouraged the development of bifurcation theory. In this paper, the conclusion is concluded by analysis and calculation that for the degenerative saddle-type Bogdanov-Takens system with codimension 3, the bifurcation phenomenon is not changed when the resonance condition b0（ε）=1 is weakened to b0 （0）=1.
出处
《天津师范大学学报（自然科学版）》
CAS
2006年第2期49-52,共4页
Journal of Tianjin Normal University：Natural Science Edition
基金
北京建筑工程学院基础科学基金资助项目(1005034)
天津市教委科技发展基金资助项目(20021301)
