Voir la notice de l'article provenant de la source Math-Net.Ru
@article{ND_2012_8_3_a8, author = {Andrey V. Tsiganov}, title = {On the nonholonomic {Veselova} and {Chaplygin} systems}, journal = {Russian journal of nonlinear dynamics}, pages = {541--547}, publisher = {mathdoc}, volume = {8}, number = {3}, year = {2012}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/ND_2012_8_3_a8/} }
Andrey V. Tsiganov. On the nonholonomic Veselova and Chaplygin systems. Russian journal of nonlinear dynamics, Tome 8 (2012) no. 3, pp. 541-547. http://geodesic.mathdoc.fr/item/ND_2012_8_3_a8/
[1] Borisov A. V., Mamaev I. S., “Gamiltonovost zadachi Chaplygina o kachenii shara”, Matem. zametki, 70:5 (2001), 793–795 | DOI | MR | Zbl
[2] Borisov A. V., Mamaev I. S., Sovremennye metody teorii integriruemykh sistem, Inst. kompyutern. issled., M.–Izhevsk, 2003, 296 pp. | MR
[3] Borisov A. V., Mamaev I. S., “Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems”, Regul. Chaotic Dyn., 13:5 (2008), 443–490 | DOI | MR | Zbl
[4] Borisov A. V., Kilin A. A., Mamaev I. S., “Obobschenie preobrazovaniya Chaplygina i yavnoe integrirovanie sharovogo podvesa”, Nelineinaya dinamika, 7:2 (2011), 313–338 | MR
[5] Borisov A. V., Mamaev I. S., Kilin A. A., Izbrannye zadachi negolonomnoi mekhaniki, Preprint http://ics.org.ru/doc?book=30&dir=r
[6] Veselova L. E., “Novye sluchai integriruemosti uravnenii dvizheniya tverdogo tela pri nalichii negolonomnoi svyazi”, Geometriya, differentsialnye uravneniya i mekhanika, Sb. st., eds. V. V. Kozlov, A. T. Fomenko, MGU, M., 1986, 64–68 | MR
[7] Veselov A. P., Veselova L. E., “Integriruemye negolonomnye sistemy na gruppakh Li”, Matem. zametki, 44:5 (1988), 604–619 | MR
[8] Chaplygin S. A., “O katanii shara po gorizontalnoi ploskosti”, Matem. sb., 24 (1903), 139–168 ; Чаплыгин С. А., Собр. соч., т. 1, ОГИЗ, М.–Л., 1948, 76–101
[9] Fedorov Yu. N., “O dvukh integriruemykh negolonomnykh sistemakh v klassicheskoi dinamike”, Vestn. MGU. Ser. Matem. Mekhan., 1989, no. 4, 38–41 | MR | Zbl
[10] Marikhin V. G., Sokolov V. V., “O privedenii pary kvadratichnykh po impulsam gamiltonianov k kanonicheskoi forme i o veschestvennom chastichnom razdelenii peremennykh dlya volchka Klebsha”, Nelineinaya dinamika, 4:3 (2008), 313–332