Stability And Hopf Bifurcation Of Quadratic Periodic System

In the paper, computational sophistication is applied to compute the basic solution matrix of a sort of two-dimensional periodic differential equation which contains two parameters .The matrix makes it realizable to study the stability of two-dimensional periodic differential equation , here , the following is proved in the paper :only if a (t), b (t), c (t), d (t) satisfy some quantity conditions, is exponentially asymptotically stable. Also according to the basic solution matrix, Hopf bifurcation of is investigated by creating subsequence functions, the measure of which differs from that of autonomous system. In the paper I apply myself to seek out a new idea to investigating heteronymous system that is no longer stickled in autonomous system.