一类哈密顿系统在十三阶扰动项下的极限环检测
Detecting the limit cycles for a class of Hamiltonian systems under thirteen-order perturbed terms
摘要：
本文研究一类受13阶扰动的哈密顿系统，以确定从未受扰动的哈密顿系统的某些周期轨道分支出的极限环的个数.该系统先前已在\cite{tig2}、\cite{tig3}、\cite{tig4}中进行了研究。我们观察到，在目前的工作中，该系统下的13阶扰动可以有更多的极限环比下扰动的5 \cite{tig3}，分别9 \cite{tig4}订单，但我们还没有确定更多的极限环比下扰动的7 \cite{tig2}订单。
英文摘要：
It this paper we study a class of perturbed Hamiltonian systems under perturbations of thirteen order in order to detect the number of limit cycles which bifurcate from some periodic orbits of the unperturbed Hamiltonian system. The system has been previously studied in \cite{tig2}, \cite{tig3}, \cite{tig4}. We observe in the present work that the system under perturbations of thirteen order can have more limit cycles than under perturbations of five \cite{tig3}, respectively nine \cite{tig4} order but we have not identified more limit cycles than under perturbations of seven \cite{tig2} order.
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