caa a22 4500 47711847X CHVBK 20180405111629.0 cr unu---uuuuu 170330e19960401xx s 000 0 eng 10.1007/BF02259529 doi (NATIONALLICENCE)springer-10.1007/BF02259529 Anosov D. Steklov Institute of Mathematics, 177966, Moscow, Russia aut Some examples of singular perturbations [Elektronische Daten] [D. Anosov] Two examples of singularly perturbed equations with a small parameter ε by some derivatives are given, where one can construct a formal periodic solution; but it is not an asymptotic expansion of a true periodic solution. Namely, either there is no true periodic solution at all or the formal solution is not an asymptotic expansion of the true periodic solution. The novelty of these examples is that the phenomena described occur for some "exceptional” ε but not only for all small complex ones. Plenum Publishing Corporation, 1996 Singular perturbation nationallicence formal solution nationallicence true solution nationallicence asymptotic expansion nationallicence (non)degeneracy nationallicence Journal of Dynamical and Control Systems Kluwer Academic Publishers-Plenum Publishers 2/2(1996-04-01), 289-298 1079-2724 2:2<289 1996 2 10883 https://doi.org/10.1007/BF02259529 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02259529 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Anosov D. Steklov Institute of Mathematics, 177966, Moscow, Russia aut NATIONALLICENCE 773 0- Journal of Dynamical and Control Systems Kluwer Academic Publishers-Plenum Publishers 2/2(1996-04-01), 289-298 1079-2724 2:2<289 1996 2 10883 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer