Geodesic
Relaxation oscillations in singular systems with slow and fast variables
Sibirskij žurnal industrialʹnoj matematiki, Tome 7 (2004) no. 3, pp. 102-110 Cet article a éte moissonné depuis la source Math-Net.Ru

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L. I. Kononenko. Relaxation oscillations in singular systems with slow and fast variables. Sibirskij žurnal industrialʹnoj matematiki, Tome 7 (2004) no. 3, pp. 102-110. http://geodesic.mathdoc.fr/item/SJIM_2004_7_3_a10/

[1] Andropov A. A., Vitt A. A., Khaikin S. E., Teoriya kolebanii, Nauka, M., 1981 | MR

[2] Mischenko E. F., Rozov N. Kh., Differentsialnye uravneniya s malym parametrom i relaksatsionnye kolebaniya, Nauka, M., 1975 | MR

[3] Karte P., “Singulyarnye vozmuscheniya obyknovennykh differentsialnykh uravnenii i nestandartnyi analiz”, Uspekhi mat. nauk, 39:2(236) (1984), 57–75 | MR

[4] Kusraev A. G., Kutateladze C. C., Nestandartnye metody analiza, Nauka, Novosibirsk, 1990

[5] Zvonkin A. K., Shubin M. A., “Nestandartnyi analiz i singulyarnye vozmuscheniya”, Uspekhi mat. nauk, 39:2(236) (1984), 77–127 | MR | Zbl

[6] Kononenko L. I., “Infinitezimalnyi analiz singulyarnykh sistem s bystrymi i medlennymi peremennymi”, Sib. zhurn. industr. matematiki, 6:4(16) (2003), 51–59 | MR | Zbl

[7] Mischenko E. F., “Asimptotika relaksatsionnykh kolebanii”, Mat. sb., 107(149):4(12) (1978), 533–540 | MR | Zbl

[8] Goldshtein V. M., Sobolev V. A., Kachestvennyi analiz singulyarno vozmuschennykh sistem, izd. In-ta matematiki SO AN SSSR, Novosibirsk, 1988

[9] Poston T., Styuart I., Teoriya katastrof i ee primenenie, Mir, M., 1980 | Zbl

[10] Mitropolskii Yu. A., Lykova O. B., Integralnye mnogoobraziya v nelineinoi mekhanike, Nauka, M., 1973 | MR

[11] Kononenko L. I., Sobolev V. A., “Asimptoticheskoe razlozhenie medlennykh integralnykh mnogoobrazii”, Sib. mat. zhurn., 35:6 (1994), 1264–1278 | MR | Zbl

[12] Kononenko L. I., “Integralnye mnogoobraziya v matematicheskoi modeli reaktsii kataliticheskogo okisleniya”, Izv. RAEN. Ser. MMMiU, 1:4 (1997), 53–59 | MR | Zbl

[13] Kononenko L. I., “O gladkosti medlennykh poverkhnostei singulyarno vozmuschennykh sistem”, Sib. zhurn. industr. matematiki, 5:2(10) (2002), 109–125 | MR | Zbl

[14] Schepakina E. A., “Singulyarno vozmuschennye modeli goreniya v mnogofaznykh sredakh”, Sib. zhurn. industr. matematiki, 6:4(16) (2003), 142–157 | MR | Zbl

[15] Lobry C., Sari T., Touhami S., “Fast and slow feedback in systems theory”, J. Biolog. Systems, 7:3 (1999), 307–331 | DOI

[16] Goldshtein V. M., Kononenko L. I., Lazman M. Z., Sobolev V. A., Yablonskii G. S., “Kachestvennyi analiz dinamicheskikh svoistv kataliticheskogo izotermicheskogo reaktora idealnogo smeshivaniya”, Matematicheskie problemy khimicheskoi kinetiki, Nauka, Novosibirsk, 1989, 176–204 | MR

[17] Deiner M., Etude générique des canards, Th`ese, Strasbourg, 1981