Bifurcation of Limit Cycles in a Quintic Hamiltonian System with Perturbed Terms

作     者：Hong Xiaochun~(*),Tan Benshu~(*) * School of Mathematics and Information Science,Qujing Normal University,Qujing 655011,China + Institute of Applied Mathematics,Qujing Normal University,Qujing 655011,China Yunnan Radio and TV University,Kunming 650223,China 

会议名称：《中国数学力学物理学高新技术交叉研究学会第十三届学术年会》

会议日期：2010年

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：Supported by the Natural Science Foundation of Yunnan Province(2008ZC153M) 

关 键 词：Hamiltonian system limit cycle detection function qualitative analysis numerical exploration 

摘      要：正Bifurcation of limit cycles in a quintic Hamiltonian system with five-order perturbed terms is investigated using both qualitative analysis and numerical *** study reveals that there are at most 7 limit cycles in the system using detection *** distributed orderliness of the 7 limit cycles is observed and their nicety places are determined.