Bifurcation of Limit Cycles for a Quintic System
Bifurcation of limit cycles for a quintic system is investigated using both qualitative analysis and numerical exploration. The investigation is based on detection functions which are particularly effective for the quintic system. The study reveals that the quintic system has 8 limit cycles using detection function approach, and two different distributed orderliness of 8 limit cycles for the quintic system are shown. By using method of numerical simulation, these limit cycles are observed and their nicety places are determined. The study also indicates that each of these limit cycles passes the corresponding nicety point. The results presented here are helpful for further investigating the Hilberts 16th problem.
Xiao-Chun Hong
School of Mathematics and Information Science Qujing Normal University Qujing 655011, Peoples Republic of China
国际会议
2010国际混沌、分形理论与应用研讨会(IWCFTA 2010)
昆明
英文
266-270
2010-10-29（万方平台首次上网日期，不代表论文的发表时间）