ANALYSIS OF LIMIT CYCLES TO A PERTURBED INTEGRABLE NON-HAMILTONIAN SYSTEM

作     者：Xiaochun Hong1,2,Yunqiu Wang1,Xuemei Zhang2 1.School of Statistics and Math.,Yunnan University of Finance and Economics,Kunming 650221 2.School of Math.and Information Science,Qujing Normal University,Qujing 655011,Yunnan 

出 版 物：《Annals of Differential Equations》 (微分方程年刊（英文版）)

年 卷 期：2012年第28卷第3期

页      面：263-268页

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 China(Grant No.11161038) 

主　　题：limit cycle integrable non-Hamiltonian system detection function numerical exploration 

摘      要：Bifurcation of limit cycles to a perturbed integrable non-Hamiltonian system is investigated using both qualitative analysis and numerical *** investigation is based on detection functions which are particularly effective for the perturbed integrable non-Hamiltonian *** study reveals that the system has 3 limit *** the method of numerical simulation,the distributed orderliness of the 3 limitcycles is observed,and their nicety places are *** study also indicates that each of the 3 limit cycles passes the corresponding nicety point.