一类平面五次扰动系统的极限环分支  

Bifurcation of limit cycles for a class of plane quintic systems with perturbed terms

作　　者：杨春妮 洪晓春[2] YANG Chun-ni;HONG Xiao-chun(School of Mathematics and Statistics,Shanxi Normal University,Xi′an 710119,China;School of Statistics and Mathematics,Yunnan University of Finance and Economics,Kunming 650221,China)

机构地区：[1]陕西师范大学数学与统计学院,陕西西安710119 [2]云南财经大学统计与数学学院,云南昆明650221

出　　处：《云南民族大学学报（自然科学版）》2022年第2期203-207,共5页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：国家自然科学基金(11761075).

摘　　要：研究了一类五次哈密顿系统在五次扰动下的极限环分支.应用定性理论方法和数值计算方法得出该系统可以同时分支出4个极限环.使用数值模拟方法给出了4个极限环的具体位置,同时呈现了双尖点极限环.Bifurcation of limit cycles for a class of quintic Hamiltonian systems with quintic perturbed terms was studied.By using both qualitative analysis method and numerical calculation method,the study shows that the system can branch out 4 limit cycles at the same time.The distributed orderliness of the 4 limit cycles is observed by using method of numerical simulation.Their nicety places are determinedand the two-sided cusp limit cycle is displayed.

关 键 词：哈密顿系统 极限环 ABEL积分 判断函数 

分 类 号：O175.12[理学—数学]