桂林电子科技大学学报2016，Vol.36Issue(2)：160-163,4.
一类三次Kolmogorov系统的极限环
Limit cycles of a cubic Kolmogorov system
摘要
Abstract
Aiming at bifurcations of limit cycles of a cubic Kolmogorov predator-prey system at the positive equilibrium point (1,1),the real system is translated gradually into a complex system by the computer algebra system Mathematica,then the first five singular point values for the concomitant complex system are calculated,and the numbers of limit cycles at the pos-itive equilibrium point can be deduced by Jacobi determinant.Five small amplitude limit cycles bifurcating from the positive equilibrium point can be concluded in the certain conditions.关键词
正平衡点/Kolmogorov系统/极限环/奇点量Key words
positive equilibrium point/Kolmogorov system/limit cycle/singular point value分类
数理科学引用本文复制引用
吴岱芩,黄文韬,吴燕兰..一类三次Kolmogorov系统的极限环[J].桂林电子科技大学学报,2016,36(2):160-163,4.基金项目
国家自然科学基金(11261013) （11261013）
