一类带有2个脉冲条件的鞍点型线性半连续动力系统的周期解存在性

The existence of periodic solution of a linear simi-continuous dynamical system with two pulse conditions in saddle point

针对一类带有2个脉冲条件下的鞍点型半连续动力系统,应用后继函数、Floquent乘子理论等方法分析了该系统的一阶周期解的存在性及稳定性,讨论了二阶周期解的存在性,并得出该系统不存在二阶周期解。数值模拟结果表明了理论结果的正确性。

A linear semi-continuous dynamical syslem with two pulse conditions in saddle point is considered. The existence and stability of order-1 periodic solution for this system are analyzed by using successor function,Floquent multiplier theory and so on. The nonexistence of order 2 period solution is proved. The numerical simulations show that the theoretical results are right.