平面时标线性自治系统的渐近行为

Asymptotic Behavior of Planar Linear Autonomous Systems on Time Scales

本文讨论了平面时标线性自治系统的渐近行为,得到一些在时标意义下类似于平面线性自治系统奇点分类的新准则,并指出该准则可以将连续和离散方程的渐近行为统一.

In this paper,with the discussion of the asymptotic behavior of planar linear autonomous system on time scales,we get some criteria on time scales as the equilibrium classification of planar linear autonomous system,and finally conclude that the criteria can unify the asymptotic properties of the original continuous and difference functions.