caa a22 4500 467953309 CHVBK 20180405193744.0 cr unu---uuuuu 170328e20050201xx s 000 0 eng 10.1007/PL00021950 doi (NATIONALLICENCE)springer-10.1007/PL00021950 (NATIONALLICENCE)springer-10.1007/s10958-005-0079-1 Kalyakin L. Institute of Mathematics, Ufa aut Autoresonance in a dynamic system [Elektronische Daten] [L. Kalyakin] Results on the asymptotic analysis of a model of autoresonance using a natural small parameter, the amplitude of forcing oscillations, are presented. The given forcing perturbation is rapidly oscillating oscillations with small amplitude and slow varying frequency. The goal of the paper is to reveal conditions under which the trajectory of the system goes away from the initial equilibrium point by a distance of order 1 under the influence of such a perturbation. Springer Science+Business Media, Inc., 2005 Journal of Mathematical Sciences Kluwer Academic Publishers-Consultants Bureau 125/5(2005-02-01), 658-688 1072-3374 125:5<658 2005 125 10958 https://doi.org/10.1007/PL00021950 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00021950 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kalyakin L. Institute of Mathematics, Ufa aut NATIONALLICENCE 773 0- Journal of Mathematical Sciences Kluwer Academic Publishers-Consultants Bureau 125/5(2005-02-01), 658-688 1072-3374 125:5<658 2005 125 10958 NATIONALLICENCE 856 40 https://doi.org/10.1007/s10958-005-0079-1 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer