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Once more on quasiperiodic solutions of quasiperiodic dynamical systems. (Italian. English summary) Zbl 0727.34035
Summary: After introducing the notion of “normal function with respect to a set of numbers” we show first that every normal solution with respect to the set $$\{\tau \}^+_{\epsilon_ 1f}$$ of the positive $$\epsilon$$- quasiperiods of a given dynamic quasiperiodic system is asymptotically quasiperiodic, and conversely. Moreover we prove that every normal solution with respect to $$\{\tau \}^+_{\epsilon_ 1f}$$ is always related to a quasiperiodic solution of a given dynamic quasiperiodic system.
##### MSC:
 34C27 Almost and pseudo-almost periodic solutions to ordinary differential equations