摘要
研究了一类五次哈密顿系统在三次扰动下的双尖点极限环.应用判定函数和数值计算方法得出该系统有3个极限环,给出了出现双尖点极限环的情况,应用数值模拟方法给出了各极限环的具体位置.
In this paper,the two-sided cusp limit cycle for a class of quintic Hamiltonian systems with cubic perturbed terms was studied.By using both qualitative analysis and numerical exploration,the study reveals that the system has 3 limit cycles,and the case of two-sided cusp limit cycle is given.The distributed orderliness of the 3 limit cycles is observed by using method of numerical simulation,and their nicety places are determined.
作者
洪晓春
张伟
杨春妮
HONG Xiaochun;ZHANG Wei;YANG Chunni(School of Statistics and Mathematics,Yunnan University of Finance and Economics,Kunming 650221,China;Yanta District Training Center of Xi’an City,New Oriental School,Xi’an 710000,China)
出处
《湖北民族大学学报（自然科学版）》
CAS
2020年第4期416-419,423,共5页
Journal of Hubei Minzu University:Natural Science Edition
基金
国家自然科学基金项目(11761075).
关键词
哈密顿系统
极限环
ABEL积分
判断函数
Hamiltonian system
limit cycle
Abelian integral
detection function
