Аннотация:It was constructed examples of even-dimensional differential systems having, in a some
sense, contrary stability and instability properties of different types: Lyapunov, Perron and upperlimit.
Namely, all nonzero solutions of these systems tend to zero at infinity but nevertheless move
away at the fixed distance from the origin at least once. In addition, these systems have a zero first
approximation along the zero solution.
