Geodesic
The stability of self-excited bifurcation oscillations in a nonlinear parabolic problem with transformed argument
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 33 (1993) no. 10, pp. 1499-1508 
A. V. Razgulin. The stability of self-excited bifurcation oscillations in a nonlinear parabolic problem with transformed argument. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 33 (1993) no. 10, pp. 1499-1508. http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_10_a4/
@article{ZVMMF_1993_33_10_a4,
     author = {A. V. Razgulin},
     title = {The stability of self-excited bifurcation oscillations in a nonlinear parabolic problem with transformed argument},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {1499--1508},
     year = {1993},
     volume = {33},
     number = {10},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_10_a4/}
}
TY  - JOUR
AU  - A. V. Razgulin
TI  - The stability of self-excited bifurcation oscillations in a nonlinear parabolic problem with transformed argument
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1993
SP  - 1499
EP  - 1508
VL  - 33
IS  - 10
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_10_a4/
LA  - ru
ID  - ZVMMF_1993_33_10_a4
ER  - 
%0 Journal Article
%A A. V. Razgulin
%T The stability of self-excited bifurcation oscillations in a nonlinear parabolic problem with transformed argument
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1993
%P 1499-1508
%V 33
%N 10
%U http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_10_a4/
%G ru
%F ZVMMF_1993_33_10_a4

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

[1] Akhmanov S. A., Vorontsov M. A., Ivanov V. Yu., “Generatsiya struktur v opticheskikh sistemakh s dvumernoi obratnoi svyazyu: na puti k sozdaniyu nelineino-opticheskikh analogov neironnykh setei”, Novye fizich. printsipy optich. obrabotki informatsii, Nauka, M., 1990, 263–325

[2] Vorontsov M. A., Dumarevskii Yu. D., Pruidze D. V., Shmalgauzen V. I., “Avtovolnovye protsessy v sistemakh s opticheskoi obratnoi svyazyu”, Izv. AN SSSR. Fizika, 52:2 (1988), 374–376

[3] Razgulin A. V., “Ob avtokolebaniyakh v nelineinoi parabolicheskoi zadache s preobrazovannym argumentom”, Zh. vychisl. matem. i matem. fiz., 33:1 (1993), 69–80 | MR | Zbl

[4] Vasileva A. B., Kaschenko S. A., Kolesov Yu. S., Rozov N. X., “Bifurkatsiya avtokolebanii nelineinykh parabolicheskikh uravnenii s maloi diffuziei”, Matem. sb., 130 (172):4 (1986), 488–499 | MR

[5] Khessard B., Kazarinov N., Ven I., Teoriya i prilozheniya bifurkatsii rozhdeniya tsikla, Mir, M., 1985 | MR

[6] Yudovich V. I., Metod linearizatsii v gidrodinamicheskoi teorii ustoichivosti, Izd-vo RostGU, Rostov-na-Donu, 1984 | Zbl

[7] Sattinger D. H., Topics in stability and bifurcation theory, Lect. Notes Math., 309, 1973, 191 pp. | MR | Zbl

[8] Khartman F., Obyknovennye differentsialnye uravneniya, Mir, M., 1970 | MR

[9] Nikolskii S. M., Priblizhenie funktsii mnogikh peremennykh i teoremy vlozheniya, Nauka, M., 1977 | MR

[10] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967

[11] Kato T., Teoriya vozmuschenii lineinykh operatorov, Mir, M., 1972 | MR | Zbl

[12] Shobukhov A. V., “Ustoichivost bifurkatsionnogo periodicheskogo resheniya v sistemakh tipa reaktsiya-diffuziya”, Matem. modelirovanie, 3:6 (1991), 22–28 | MR | Zbl

[13] Trenogin V. A., Funktsionalnyi analiz, Nauka, M., 1980 | MR | Zbl