摘要
用判函数法研究一类线性系统在 9次扰动下的极限环分支 ,证明了这类系统至多产生 4个极限环 .给出了正好出现 4个极限环的条件 .获得了一个具体例子中每一个极限环的确切位置 .
The bifurcations of limit cycles for a linear system with 9 degree perturbations are investigated by using the detection function method. It is showed that there are at most 4 limit cycles in this perturbed system. The conditions appearing just 4 limit cycles are given. A concrete example is discussed and the accurate location of each limit cycle is displayed. The qualitative results are identical with simulative ones.
基金
ResearchissupportedbytheNaturalScienceFoundationFoundofChina (1 0 2 6 1 0 0 8)
关键词
极限环分支
判定函数
确切位置
bifurcations of limit cycles
detection function
accurate location
