The existence of periodic solutions of a non-autonomous piecewise bilinear system is concerned.First,a bounded closed domain is constructed such that any orbit of the system intersecting its boundary enters the interior of the bounded closed domain in the positive direction.Then,Brouwer fixed point theorem is used to prove the existence of crossing periodic solutions and deal with the relationship between periods of the periodic solution and the periods of forced terms.
关键词
双线性系统/周期解/Brouwer不动点定理
Key words
bilinear systems/periodic solution/Brouwer fixed point theorem
维普
万方数据