Geodesic
Computer normalization of Hamiltonian systems in analytic form
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 33 (1993) no. 8, pp. 1201-1208 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1993_33_8_a6,
     author = {A. G. Sokolskii and I. I. Shevchenko},
     title = {Computer normalization of {Hamiltonian} systems in analytic form},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1201--1208},
     year = {1993},
     volume = {33},
     number = {8},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_8_a6/}
}
TY  - JOUR
AU  - A. G. Sokolskii
AU  - I. I. Shevchenko
TI  - Computer normalization of Hamiltonian systems in analytic form
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1993
SP  - 1201
EP  - 1208
VL  - 33
IS  - 8
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_8_a6/
LA  - ru
ID  - ZVMMF_1993_33_8_a6
ER  - 
%0 Journal Article
%A A. G. Sokolskii
%A I. I. Shevchenko
%T Computer normalization of Hamiltonian systems in analytic form
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1993
%P 1201-1208
%V 33
%N 8
%U http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_8_a6/
%G ru
%F ZVMMF_1993_33_8_a6
A. G. Sokolskii; I. I. Shevchenko. Computer normalization of Hamiltonian systems in analytic form. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 33 (1993) no. 8, pp. 1201-1208. http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_8_a6/

[1] Arnold V. I., Matematicheskie metody klassicheskoi mekhaniki, Nauka, M., 1989 | MR

[2] Markeev A. P., Tochki libratsii v nebesnoi mekhanike i kosmodinamike, Nauka, M., 1978

[3] Markeev A. P., Medvedev S. V., Sokolskii A. G., Metody i algoritmy normalizatsii differentsialnykh uravnenii, Izd-vo MAI, M., 1985

[4] Steinberg S., “Lie series, Lie transformations and their applications”, Lie Methods in Optics, Springer, Berlin, 1985, 45–103 | MR

[5] Vinitsky S. I., Rostovtsev V. A., Gonchar V. Yu., Chekanov N. A., “A program for the analytical construction of the Birkhoff-Gustavson normal form”, Computer Algebra in Phys. Res., Proc. 4th Internat. Conf., Joint Inst. Nucl. Res., Dubna, 1990, 80–81

[6] Gozdziewski K., Maciejewski A. J., “System for normalization of a Hamiltonian function based on Lie series”, Celest. Mech. and Dynamic. Astron., 49:1 (1990), 1–10 | DOI

[7] Maciejewski A. J., Gozdziewski K., “Normalization algorithms of Hamiltonian near an equilibrium point”, Astrophys. and Space Sci., 179:1 (1991), 1–11 | DOI | MR | Zbl

[8] Klimov D. M., Rudenko V. M., Metody kompyuternoi algebry v zadachakh mekhaniki, Nauka, M., 1989 | MR

[9] Gantmakher F. R., Teoriya matrits, Nauka, M., 1966 | MR

[10] Deprit A., “Canonical transformations depending on a small parameter”, Celest. Mech., 1:1 (1969), 12–30 | DOI | MR | Zbl

[11] Hori G. I., “Theory of general perturbations with unspecified canonical variables”, J. Japan Astron. Soc., 18:4 (1966), 287–296

[12] Mersman W. A., “A new algorithm for the Lietransformation”, Celest. Mech., 3:1 (1970), 81–89 | DOI | MR | Zbl

[13] Markeev A. P., Sokolskii A. G., Nekotorye vychislitelnye algoritmy normalizatsii gamiltonovykh sistem, Preprint No 31, IPMatem. AN. SSSR, M., 1976, 61 pp.

[14] Sokolskii A. G., Shevchenko I. I., Nelineinaya normalizatsiya avtonomnykh gamiltonovykh sistem na EVM v analiticheskom vide, Preprint No 8, ITA AN SSSR, L., 1990, 51 pp.

[15] Sokolskii A. G., Shevchenko I. I., O normalizatsii avtonomnykh gamiltonovykh sistem na EVM v analiticheskom vide, Preprint No 14, ITA AN SSSR, L., 1991, 72 pp.