The complete set of relations between the oscillation, rotation and wandering indicators of solutions of differential systems

In this paper a number of Lyapunov indicators is defined for non-trivial solutions of linear systems on semiaxis to be responsible for their oscillation, rotation and wandering. The indicators are obtained from some functionals of solutions on finite intervals as a result of averaging over time and minimizing for all bases in the phase space. We give a set of relations (equalities or inequalities) between introduced indicators. The set is proved to be full, that is, it cannot be supplemented or strengthened by any meaningful relation.