摘要
利用微分方程定性理论,研究了一类二次可逆Lotka-Volterra系统在有限平面及无穷远平面的初等奇点、半双曲奇点以及幂零奇点,得到此系统有6类拓扑等价的全局相图.
In this paper,we study elementary singularities,semi-hyperbolic singularities and nilpotent singularities of a class of the quadratic reversible Lotka-Volterra systems in finite plane and infinite plane by using qualitative theory of ordinary differential equation and conclude that this system has six cases of topologically different global phase portraits.
作者
邵仪
吴泽敏
李文仙
SHAO Yi;WU Zemin;LIWenxian(School of Mathematics and Statistics,Zhaoqing University,Zhaoqing,Guangdong 526061,China)
出处
《肇庆学院学报》
2022年第2期15-22,共8页
Journal of Zhaoqing University
基金
国家自然科学基金(71801186),肇庆学院大学生创新创业训练计划项目(S202010580039)。
关键词
二次系统
奇点
全局相图
quadratic systems
singularities
global phase portraits
