naa a22 4500 510812457 CHVBK 20180411083449.0 cr unu---uuuuu 180411e20130601xx s 000 0 eng 10.1134/S0081543813050088 doi (NATIONALLICENCE)springer-10.1134/S0081543813050088 Kiselev O. Institute of Mathematics with Computing Center, Ufa Research Center of the Russian Academy of Sciences, ul. Chernyshevskogo 112, 450008, Ufa, Russia aut Oscillations near a separatrix in the duffing equation [Elektronische Daten] [O. Kiselev] A small periodic perturbation results in a complicated dynamics near separatrices and saddle points. A two-parameter family of asymptotic solutions staying near separatrices for a long time is constructed. Solutions from this family depend nonsmoothly on the perturbation parameter. An example is given in which the values of the perturbation parameter for this family of solutions are determined by a set with structure of the type of the Cantor set. Pleiades Publishing, Ltd., 2013 perturbation theory nationallicence separatrix nationallicence oscillations nationallicence Proceedings of the Steklov Institute of Mathematics SP MAIK Nauka/Interperiodica 281(2013-06-01), 82-94 0081-5438 281<82 2013 281 11501 https://doi.org/10.1134/S0081543813050088 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S0081543813050088 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Kiselev O. Institute of Mathematics with Computing Center, Ufa Research Center of the Russian Academy of Sciences, ul. Chernyshevskogo 112, 450008, Ufa, Russia aut NATIONALLICENCE 773 0- Proceedings of the Steklov Institute of Mathematics SP MAIK Nauka/Interperiodica 281(2013-06-01), 82-94 0081-5438 281<82 2013 281 11501 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer