一类线性系统在11次扰动下的极限环分支(英文)

The Bifurcation of Limit Cycles for a Linear System with 11-degree Perturbation

利用判定函数法研究了一类线性系统在11次扰动下的极限环分支,证明了这类系统至多产生5个极限环,并给出了正好产生5个极限环的条件,最后给出了一个能产生五个极限环的具体例子。

The bifurcation of limit cycles for a linear system with 11 - degree perturbations are investigated by using the detection function method. It is shown that there exist at most 5 limit cycles in this perturbed system . The conditions appearing just 5 limit cycles are given, and a concrete example is discussed.