Global Bifurcation of Limit Cycles in an Integrable Non-Hamiltonian System under Polynomial Perturbations

摘要：

Global bifurcation of limit cycles in a perturbed integrable non-Hamiltonian system is investigated using bifurcation method of limit cycles. The study reveals that, for the integrable non-Hamiltonian system under polynomial perturbations equation (8) in the introduction, the upper bound for the number of limit cycles is n+m-1/2 + 1 when n > m + 2; it is m + 1 when n = m, m + 1; and it is m when 1 < n < m — 1. The results presented here are helpful for further investigating the Hilberts 16th problem.

关键词： limit cycle integrable non-Hamiltonian system Abelian integral upper bound

作者: Xiao-Chun Hong Jian Huang Zhonghuan Cai

作者单位: School of Mathematics and Information Science Qujing Normal University Qujing Yunnan 655011, P. R. C School of Computer Science and Engineering Qujing Normal University Qujing Yunnan 655011, P. R. Chin Kunming Metallurgy College Kunming Yunnan 650033, P. R. China

会议类型: 国际会议

会议名称: 2011 Seventh International Conference on Natural Computation(第七届自然计算国际会议 ICNC 2011)

会议地点: 上海

会议语种:英文

页码: 1412-1415

在线出版日期: 2011-07-26（万方平台首次上网日期，不代表论文的发表时间）