Comments on P.\,E.~Ryabov ``Explicit integration and topology of D.\,N.~Goryachev case''
Russian journal of nonlinear dynamics, Tome 7 (2011) no. 3, pp. 715-717.

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

@article{ND_2011_7_3_a19,
     author = {A. V. Tsiganov},
     title = {Comments on {P.\,E.~Ryabov} {``Explicit} integration and topology of {D.\,N.~Goryachev} case''},
     journal = {Russian journal of nonlinear dynamics},
     pages = {715--717},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2011_7_3_a19/}
}
TY  - JOUR
AU  - A. V. Tsiganov
TI  - Comments on P.\,E.~Ryabov ``Explicit integration and topology of D.\,N.~Goryachev case''
JO  - Russian journal of nonlinear dynamics
PY  - 2011
SP  - 715
EP  - 717
VL  - 7
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2011_7_3_a19/
LA  - ru
ID  - ND_2011_7_3_a19
ER  - 
%0 Journal Article
%A A. V. Tsiganov
%T Comments on P.\,E.~Ryabov ``Explicit integration and topology of D.\,N.~Goryachev case''
%J Russian journal of nonlinear dynamics
%D 2011
%P 715-717
%V 7
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2011_7_3_a19/
%G ru
%F ND_2011_7_3_a19
A. V. Tsiganov. Comments on P.\,E.~Ryabov ``Explicit integration and topology of D.\,N.~Goryachev case''. Russian journal of nonlinear dynamics, Tome 7 (2011) no. 3, pp. 715-717. http://geodesic.mathdoc.fr/item/ND_2011_7_3_a19/

[1] Borisov A. V., Mamaev I. S., Sovremennye metody teorii integriruemykh sistem, IKI, M.–Izhevsk, 2003, 296 pp.

[2] Borisov A. V., Mamaev I. S., Dinamika tverdogo tela: gamiltonovy metody, integriruemost, khaos, IKI, M.–Izhevsk, 2005, 576 pp.

[3] Goryachev D. N., “Novye sluchai integriruemosti dinamicheskikh uravnenii Eilera”, Izv. Varshavskogo un-ta, 3 (1916), 1–13

[4] Ryabov P. E., “Yavnoe integrirovanie i topologiya sluchaya D. N. Goryacheva”, Dokl. RAN, 439:3 (2011), 315–318

[5] Chaplygin S. A., “Novoe chastnoe reshenie zadachi o dvizhenii tverdogo tela v zhidkosti”, Tr. otd. fiz. nauk obsch-va lyubitelei estestvoznaniya, 11:2 (1903), 7–10

[6] Jacobi C. G. J., Vorlesungen über Dynamik, G. Reimer, Berlin, 1884, 300 pp.

[7] Kowalevski S., “Sur le probléme de la rotation d'un corps solide autour d'un point fixe”, Acta Math., 12 (1889), 177–232 | DOI | MR

[8] Tsiganov A. V., “On the Kowalevski–Goryachev–Chaplygin gyrostat”, J. Phys. A, 35:26 (2002), L309–L318 | DOI | MR | Zbl

[9] Tsiganov A. V., “On the generalized Chaplygin system”, Voprosy kvantovoi teorii polya i statisticheskoi fiziki, v. 21, Zap. nauchn. sem. POMI, 374, POMI, SPb., 2010, 250–267 | MR

[10] Tsiganov A. V., “On the generalized Chaplygin system”, J. Math. Sci. (N.Y.), 168:8 (2010), 901–911 | DOI | MR

[11] Tsiganov A. V., Khudobakhshov V. A., “Integrable systems on the sphere associated with genus three algebraic curves”, Regul. Chaotic Dyn., 16:3–4 (2011), 396–414 | DOI | MR