摘要
目的 研究二次系统 (ΙΠ) m=0 的奇点分析和极限环的存在性 .方法 利用线性变分矩阵判断奇点类型 ,并利用 Hopf分支理论给出极限环的存在性 .结果 在一定条件下证明了极限环的存在性和唯一性 ,改进了已有的工作 .结论 在一定条件下证明了极限环的存在性和唯一性 .
Aim\ The point singularity and existence of limit cycles in quadratic system of class (ΙΠ)\-\{\%m=0\%\} are discussed. Methods\ The point singularity types are judged by linear matrix, and the existence of limit cycles is given by Hopf bifurcation theory. Results\ Under some conditions the existence and uniqueness of limit cycles has been proved, which improves the previous work. Conclusion\ Under certain conditions the uniqueness and existence of limit cycles were proved.
出处
《华北工学院学报》
CAS
2001年第5期359-363,共5页
Journal of North China Institute of Technology
