摘要
本文对Borisuk M T和Tyson J J在[1]中所提出的一个有关蛙卵有丝分裂的平面三次系统模型证明了鞍结点不变圈的存在性,给出了鞍结点不变圈所在的空间区域和所对应的参数区域.所得结果严格地证明了[1]中给出的数值结果.此外,我们还给出了从此鞍结点不变圈分支出极限环的条件.
In this paper, we prove the existence of saddle-node invariant loop in the model of mitosis in frog eggs and its bifurcation and present the spatial region and the parameter region where there exists saddle-node invariant loop in the model of mitosis in frog eggs proposed by Borisuk M T and Tenson T Tin [1]. The model is a cubic system on the plane. The results in this paper embrace the numerical results in [1].
出处
《应用数学学报》
CSCD
北大核心
2004年第1期36-43,共8页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(10171099号)资助项目.
