Matematičeskoe modelirovanie, Tome 16 (2004) no. 2, pp. 23-30
Citer cet article
V. V. Ternovskii; A. M. Khapaev. Simulation of a dynamic system with nonlinear vibrations. Matematičeskoe modelirovanie, Tome 16 (2004) no. 2, pp. 23-30. http://geodesic.mathdoc.fr/item/MM_2004_16_2_a1/
@article{MM_2004_16_2_a1,
author = {V. V. Ternovskii and A. M. Khapaev},
title = {Simulation of a dynamic system with nonlinear vibrations},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {23--30},
year = {2004},
volume = {16},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_2004_16_2_a1/}
}
TY - JOUR
AU - V. V. Ternovskii
AU - A. M. Khapaev
TI - Simulation of a dynamic system with nonlinear vibrations
JO - Matematičeskoe modelirovanie
PY - 2004
SP - 23
EP - 30
VL - 16
IS - 2
UR - http://geodesic.mathdoc.fr/item/MM_2004_16_2_a1/
LA - ru
ID - MM_2004_16_2_a1
ER -
%0 Journal Article
%A V. V. Ternovskii
%A A. M. Khapaev
%T Simulation of a dynamic system with nonlinear vibrations
%J Matematičeskoe modelirovanie
%D 2004
%P 23-30
%V 16
%N 2
%U http://geodesic.mathdoc.fr/item/MM_2004_16_2_a1/
%G ru
%F MM_2004_16_2_a1
The energy of a charged relativistic particle has been studied under influence of a plane wave as a function of the interaction range. The conditions of a uniform solution were determined by means of algebraic method. The method Fourier was used to obtain analytical solution.
[1] Ternovskii V. V., Khapaev A. M., “Postanovka i reshenie odnoi zadachi teorii nelineinykh kolebanii”, Zh. vychisl. matem. i matem. fiz., 36:6 (1996), 114–122 | MR
[2] Bourdier A., Gond S, “Dynamics of a charged particle in a circulary polarized traveling electromagnetic wave”, Phys. Rev. E, 62:3 (2000), 4189–4206 | DOI | MR
[3] Volodin B. A., Khapaev A. M., “Reshenie odnoi zadachi, svyazannoi s dinamikoi elektrona”, Zh. vychisl. mat. i mat. fiz., 27:2 (1987), 245–251 | MR
[4] Ternovskii V. V., Khapaev A. M., “Relyativistskii zaryad v elektromagnitnom pole”, Zh. vychisl. matem. i matem. fiz., 41:8 (2001), 1263–1274 | MR | Zbl
[5] Volodin B. A., Khapaev A. M., “O reshenii nekotoroi zadachi Koshi, svyazannoi s dvizheniem elektrona v ploskoi volne”, Differents. ur-niya, 21:12 (1985), 2036–2046 | MR | Zbl