Hopf bifurcation and uniqueness of limit cycle for a class of quartic system

被引：1
|
作者：
Zhan Q. [1 ]
Xie X. [2 ]
Wu C. [3 ]
Qiu S. [4 ]
机构：
[1] Dept. of Comput. and Inform., Fujian Agriculture and Forestry Univ.
[2] Dept. of Math., Ningde Normal College
[3] College of Math. and Comput. Sci., Fuzhou Univ.
[4] Dept. of Math., Gannan Normal College
来源：
Applied Mathematics-A Journal of Chinese Universities | 2007年 / 22卷 / 4期
关键词：
Accompanying system; Bifurcation; Limit cycle; Uniqueness;
D O I：
10.1007/s11766-007-0402-3
中图分类号：
学科分类号：
摘要：
This paper studies a class of quartic system which is more general and realistic than the quartic accompanying system. x' = - y + ex + lx2 + mxy + ny2, y' = x(1 - Ay)(1 + Cy2, where C > 0. Sufficient conditions are obtained for the uniqueness of limit cycle of system (*) and some more in-depth conclusion such as Hopf bifurcation. © Editorial Committee of Applied Mathematics 2007.
引用
收藏
页码：388 / 392
页数：4
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