Method of radial drift for qualitative study of the properties of the nonlinear dynamic systems. I

摘要

The drift method of the present author was further developed. For qualitative study of some dynamic properties of the objects described by systems of nonautonomous nonlinear differential equations of an arbitrary order, the notion of radial drift was introduced. In the first part, efficient sufficient conditions for instability of the equilibria of such objects were obtained using the radial drift method.