广义Liénard方程极限环的惟一性问题  

On the Uniqueness of Limit Cycle of the General Lienard Equation

作　　者：张平光[1] 赵申琪[1] 

机构地区：[1]浙江大学数学系,杭州310027

出　　处：《数学学报（中文版）》2004年第6期1193-1200,共8页Acta Mathematica Sinica：Chinese Series

摘　　要：本文证明了广义Lienard方程极限环的一个惟一性定理,并用它证明了具有 稀疏效应的捕食-食饵系统在其正奇点外围至多有一个极限环.In this paper, a theorem on the uniqueness of limit cycle of the general Lienard equation is proved. Applying the theorem to the predator-prey model with undercrowding effect, it is proved that the predator-prey system has at most one limit cycle around the positive weak singular point.

关 键 词：广义Liénard方程 极限环 惟一性 

分 类 号：O175.12[理学—数学]