Geodesic
The Ginzburg–Landau equation as a normal form for a second-order difference-differential equation with a large delay
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 3, pp. 457-465 Cet article a éte moissonné depuis la source Math-Net.Ru

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S. A. Kashchenko. The Ginzburg–Landau equation as a normal form for a second-order difference-differential equation with a large delay. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 3, pp. 457-465. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_3_a9/

[1] Kheil Dzh., Teoriya funktsionalno-differentsialnykh uravnenii, Nauka, M., 1984

[2] Landa P. S., Avtokolebaniya v raspredelennykh sistemakh, Nauka, M., 1983 | Zbl

[3] Dmitriev A. S., Kislov V. Ya., Stokhasticheskie kolebaniya v radiofizike i elektronike, Nauka, M., 1989 | Zbl

[4] Kuznetsov S. P., “Slozhnaya dinamika generatorov s zapazdyvayuschei obratnoi svyazyu (obzor)”, Izv. vuzov. Radiofiz., 25:12 (1982), 1410–1428

[5] Akhromeeva T. S., Kurdyumov S. P., Malinetskii G. G., Samarskii A. A., Nestatsionarnye struktury i diffuzionnyi khaos, Nauka, M., 1992 | Zbl

[6] Kolmanovskii V. B., Nosov V. R., Ustoichivost i periodicheskie rezhimy reguliruemykh sistem s posledeistviem, Nauka, M., 1981

[7] Vasileva A. B., Butuzov V. F., Asimptoticheskie razlozheniya reshenii singulyarno vozmuschennykh uravnenii, Nauka, M., 1973

[8] Sharkovskii A. N., Maistrenko Yu. L., Romanenko E. Yu., Raznostnye uravneniya i ikh prilozheniya, Nauk. dumka, Kiev, 1981

[9] Kaschenko S. A., “Primenenie metoda normalizatsii k izucheniyu dinamiki differentsialno-raznostnykh uravnenii s malym mnozhitelem pri proizvodnoi”, Differents. ur-niya, 25:8 (1982), 1448–1451

[10] Marsden Dzh., Mak-Kraken M., Bifurkatsiya rozhdeniya tsikla i ee prilozheniya, Mir, M., 1980 | Zbl

[11] Bryuno A. D., Lokalnyi metod nelineinogo analiza differentsialnykh uravnenii, Nauka, M., 1979

[12] Rozhdestvenskii V. V., Struchkov I. N., “Perekhodnyi khaos v avtogeneratorakh stokhasticheskikh kolebanii s zhestkim vozbuzhdeniem i chetnoi nelineinostyu”, Zh. tekhn. fiz., 62:10 (1992)

[13] Stokes A., “On the approximation of nonlinear oscillation”, Tr. V Mezhdunar. konf. po nelineinym kolebaniyam, v. 2, Nauk. dumka, Kiev, 1970, 480–491

[14] Kaschenko S. A., “Issledovanie ustoichivosti reshenii lineinykh parabolicheskikh uravnenii s blizkimi k postoyannym koeffitsientami i maloi diffuziei”, Tr. seminara im. I. G. Petrovskogo, 15, M., 1991, 128–155

[15] Vasileva A. B., Kaschenko S. A., Kolesov Yu. S., Rozov N. Kh., “Bifurkatsiya avtokolebanii nelineinykh parabolicheskikh uravneniya s maloi diffuziei”, Matem. sb., 130(172):4(8) (1986), 488–499 | MR

[16] Kaschenko S. A., “Prostranstvennye osobennosti vysokomodovykh bifurkatsii dvukhkomponentnykh sistem s maloi diffuziei”, Differents. ur-niya, 25:2 (1989)