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Hopf bifurcation and uniqueness of limit cycle for a class of quartic system |
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| Authors: | Zhan Qingyi Xie Xiangdong Wu Chengqiang Qiu Shulin |
| Affiliation: | (1) Dept. of Comput. and Inform., Fujian Agriculture and Forestry Univ., Fuzhou, 350002, China;(2) Dept. of Math., Ningde Normal College, Ningde, 352100, China;(3) College of Math. and Comput. Sci., Fuzhou Univ., Fuzhou, 350002, China;(4) Dept. of Math., Gannan Normal College, Ganzhou, 341000, China |
| Abstract: | 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. |
| Keywords: | accompanying system bifurcation limit cycle uniqueness. |
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