Limit Cycles in Two Plane Non-Hamiltonian Perturbed Integrable Systems

被引：0

作者：

Hong, Xiaochun ^{[1
]}

Cui, Ping ^{[2
]}

Ma, Rui ^{[1
]}

机构：

[1] Yunnan Univ Finance & Econ, Sch Math & Stat, Kunming 650221, Yunnan, Peoples R China

[2] Qujing Normal Univ, Editorial Dept Journal, Qujing 655011, Yunnan, Peoples R China

来源：

2015 11TH INTERNATIONAL CONFERENCE ON NATURAL COMPUTATION (ICNC) | 2015年

关键词：

limit cycle; non-Hamiltonian integrable system; detection function; numerical exploration; CUSP;

D O I：

暂无

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

According to the detection functions and qualitative analysis, we investigated the limit cycle bifurcations in two plane non-Hamiltonian perturbed integrable systems. The research shows that each of the two systems has 3 limit cycles. And by numerical simulations, the distributed orderliness of these limit cycles is observed, their exact places are determined. The investigation also indicates that each of these limit cycles passes the corresponding exact point.

引用

页码：535 / 539

页数：5

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