an:04200645
Zbl 0727.34035
Manfredi, Bianca
Once more on quasiperiodic solutions of quasiperiodic dynamical systems
IT
Riv. Mat. Univ. Parma, IV. Ser. 16, 97-103 (1990).
00127279
1990
j
34C27
normal function with respect to a set of numbers; dynamic quasiperiodic system; asymptotically quasiperiodic
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.