The effect of the shape of an integral manifold on the occurrence of relaxation oscillations
Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 2, pp. 75-80.

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

@article{SJIM_2006_9_2_a6,
     author = {L. I. Kononenko},
     title = {The effect of the shape of an integral manifold on the occurrence of relaxation oscillations},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {75--80},
     publisher = {mathdoc},
     volume = {9},
     number = {2},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2006_9_2_a6/}
}
TY  - JOUR
AU  - L. I. Kononenko
TI  - The effect of the shape of an integral manifold on the occurrence of relaxation oscillations
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2006
SP  - 75
EP  - 80
VL  - 9
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2006_9_2_a6/
LA  - ru
ID  - SJIM_2006_9_2_a6
ER  - 
%0 Journal Article
%A L. I. Kononenko
%T The effect of the shape of an integral manifold on the occurrence of relaxation oscillations
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2006
%P 75-80
%V 9
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2006_9_2_a6/
%G ru
%F SJIM_2006_9_2_a6
L. I. Kononenko. The effect of the shape of an integral manifold on the occurrence of relaxation oscillations. Sibirskij žurnal industrialʹnoj matematiki, Tome 9 (2006) no. 2, pp. 75-80. http://geodesic.mathdoc.fr/item/SJIM_2006_9_2_a6/

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

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

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

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

[5] Kononenko L. I., “Relaksatsionnye kolebaniya v singulyarnykh sistemakh s medlennymi i bystrymi peremennymi”, Sib. zhurn. industr. matematiki, 7:3(19) (2004), 102–109 | MR

[6] Kononenko L. I., “Usloviya suschestvovaniya relaksatsionnykh kolebanii v singulyarnykh sistemakh nebolshikh razmernostei”, Sib. zhurn. industr. matematiki, 8:3(23) (2005), 87–92 | MR | Zbl

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

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

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

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

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

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

[13] Sobolev V. A., Schepakina E. A., “Integralnye poverkhnosti so smenoi ustoichivosti”, Izv. RAEN. Ser. MMMiU, 1:3 (1997), 151–175 | MR | Zbl

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

[15] 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

[16] Szmolyan P., Wechselberger M., “Relaxation oscillations in $R^3$”, J. Differential Equations, 200:1 (2004), 69–104 | DOI | MR | Zbl