【摘要】 利用含参数微分方程的周期解与极限环的理论 ,证明了环面T2 :C1×C2 (C1:-π <x≤π ,C2 :-π <y≤π)上的微分系统 x =siny , y =-sinx +μsin3y围绕奇点 0 ( 0 ,0 )有且仅有 2个第一类极限环更多还原

【Abstract】 By the general theory on periodic solutions and limit cycles of differential equations with one parameter,the problems on the limit cycles for the differential systems on the torus are studied. The important results of the exact number of the limit cycles are obtained:there are exact two limit cycles of the first kind around the singular point O (0.0) for the given system.更多还原