Geodesic
Forced oscillations of relativistic oscillator with periodic external exitation
Trudy Instituta matematiki, Tome 17 (2009) no. 1, pp. 103-109 
E. K. Makarov; A. A. Afanas'ev; A. N. Rubinov. Forced oscillations of relativistic oscillator with periodic external exitation. Trudy Instituta matematiki, Tome 17 (2009) no. 1, pp. 103-109. http://geodesic.mathdoc.fr/item/TIMB_2009_17_1_a9/
@article{TIMB_2009_17_1_a9,
     author = {E. K. Makarov and A. A. Afanas'ev and A. N. Rubinov},
     title = {Forced oscillations of relativistic oscillator with periodic external exitation},
     journal = {Trudy Instituta matematiki},
     pages = {103--109},
     year = {2009},
     volume = {17},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TIMB_2009_17_1_a9/}
}
TY  - JOUR
AU  - E. K. Makarov
AU  - A. A. Afanas'ev
AU  - A. N. Rubinov
TI  - Forced oscillations of relativistic oscillator with periodic external exitation
JO  - Trudy Instituta matematiki
PY  - 2009
SP  - 103
EP  - 109
VL  - 17
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TIMB_2009_17_1_a9/
LA  - ru
ID  - TIMB_2009_17_1_a9
ER  - 
%0 Journal Article
%A E. K. Makarov
%A A. A. Afanas'ev
%A A. N. Rubinov
%T Forced oscillations of relativistic oscillator with periodic external exitation
%J Trudy Instituta matematiki
%D 2009
%P 103-109
%V 17
%N 1
%U http://geodesic.mathdoc.fr/item/TIMB_2009_17_1_a9/
%G ru
%F TIMB_2009_17_1_a9

Voir la notice de l'article provenant de la source Math-Net.Ru

A solution for the problem on oscillations of relativistic oscillator with periodic external exitation is given. Some appropximate representations for the resonant curve of such oscillator are obtained.

[1] Savelev I.V., Osnovy teoreticheskoi fiziki, v 2 t., v. 1, Mekhanika i elektrodinamika, M., 1991 | MR

[2] Reissig R., Sansone G., Konti R., Kachestvennaya teoriya nelineinykh differentsialnykh uravnenii, M., 1974

[3] Makarov E.K., Afanasev A.A., Rubinov A.N., “Reshenie zadachi o vynuzhdennykh kolebaniyakh kvazirelyativistskogo ostsillyatora s periodicheskim vneshnim vozbuzhdeniem”, Trudy Instituta matematiki NAN Belarusi, 16:2 (2008), 76–84 | Zbl

[4] Sing Dzh.L., Klassicheskaya dinamika, M., 1963

[5] Akhiezer N.I., Elementy teorii ellipticheskikh funktsii, M., 1970

[6] Akhmanov S.A., Nikitin S.Yu., Fizicheskaya optika, M., 1998