摘要
目的研究了一类E33系统的定性性质。方法运用定性理论和平面系统的分支理论。结果给出了原点O(0,0)为全局中心时的所有可能的全局结构和产生Hopf分支的充分条件。结论得到了关于此类三次系统的比较完整的结果。
Aim To research the qualitative property of a class of cubic system. Methods The qualitative theories and bifurcation theory of planar system are used to study the property. Results All the possible global structures are obtained whenO(0,0) is a center; meanwhile, the sufficient conditions for the system to generate the Hopf bifurcation are given. Conclusion The relative systematic results on this class of cubic system are obtained.
出处
《宝鸡文理学院学报(自然科学版)》
CAS
2009年第2期19-21,共3页
Journal of Baoji University of Arts and Sciences(Natural Science Edition)
基金
陕西省自然科学基金资助项目(2003A07)