Keywords: clutching function, integral manifold, change of stability.
@article{VSGU_2012_6_a6,
author = {T. V. Simonova},
title = {Slow integral manifolds with a change of stability},
journal = {Vestnik Samarskogo universiteta. Estestvennonau\v{c}na\^a seri\^a},
pages = {49--57},
year = {2012},
number = {6},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VSGU_2012_6_a6/}
}
T. V. Simonova. Slow integral manifolds with a change of stability. Vestnik Samarskogo universiteta. Estestvennonaučnaâ seriâ, no. 6 (2012), pp. 49-57. http://geodesic.mathdoc.fr/item/VSGU_2012_6_a6/
[1] V. I. Arnold i dr., “Teoriya bifurkatsii”, Sovremennye problemy matematiki: Fundamentalnye napravleniya, 5, VINITI, M., 1986, 5–218
[2] Sobolev V. A., Schepakina E. A., Reduktsiya modelei i kriticheskie yavleniya v makrokinetike, Fizmatlit, M., 2010, 320 pp. | Zbl
[3] Vasileva A. B., Butuzov V. F., Asimptoticheskie razlozheniya reshenii singulyarno vozmuschennykh uravnenii, Nauka, M., 1973, 272 pp. | MR
[4] Schepakina E. A., “Prityagivayusche-ottalkivayuschie integralnye poverkhnosti v zadachakh goreniya”, Matematicheskoe modelirovanie, 14:3 (2002), 30–42 | MR
[5] Schepakina E. A., “Singulyarnye vozmuscheniya v zadache modelirovaniya bezopasnykh rezhimov goreniya”, Matematicheskoe modelirovanie, 15:8 (2003), 113–117
[6] Gorelov G. N., Sobolev V. A., Schepakina E. A., Singulyarno vozmuschennye modeli goreniya, SamVen, Samara, 1999, 185 pp.
[7] Sobolev V. A., Schepakina E. A., “Integralnye poverkhnosti so smenoi ustoichivosti”, Izvestiya RAEN. Ser.: MMMIU, 1:3 (1997), 151–175 | MR | Zbl
[8] Mitropolskii Yu. A., Lykova O. B., Integralnye mnogoobraziya v nelineinoi mekhanike, Nauka, M., 1975, 512 pp. | MR
[9] Strygin V. V., Sobolev V. A., Razdelenie dvizhenii metodom integralnykh mnogoobrazii, Nauka, M., 1988, 256 pp. | MR | Zbl