On Various Radial Properties of a DifferentialSystem

Various qualitative properties of a differential system related to the behavior of its solutions starting near zero are considered: stability and asymptotic stability, complete oscillation, wandering, and rotation, as well as complete negations of each of these properties. Logical connections of their various radial and general radial varieties are studied both with each other and with the corresponding complete properties, as well as with the measures of these properties.