Geodesic
Bifurcation of invariant tori of parabolic systems with small diffusion
Sbornik. Mathematics, Tome 78 (1994) no. 2, pp. 367-378 Cet article a éte moissonné depuis la source Math-Net.Ru

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Two theorems are proved on the existence, asymptotics, and stability of smooth invariant tori bifurcating from the zero equilibrium state and associated with parabolic systems with small diffusion under Neumann boundary conditions. 
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     title = {Bifurcation of invariant tori of parabolic systems with small diffusion},
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Yu. S. Kolesov. Bifurcation of invariant tori of parabolic systems with small diffusion. Sbornik. Mathematics, Tome 78 (1994) no. 2, pp. 367-378. http://geodesic.mathdoc.fr/item/SM_1994_78_2_a5/

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

[2] Kolesov Yu. S., “Ob ustoichivosti reshenii lineinykh differentsialnykh uravnenii parabolicheskogo tipa s pochti periodicheskimi koeffitsientami”, Tr. Mosk. matem. ob-va, 36, URSS, M., 1978, 3–27 | MR | Zbl

[3] Samoilenko A. M., Elementy matematicheskoi teorii mnogochastotnykh kolebanii, Nauka, M., 1987 | MR

[4] Kolesov Yu. S., “Zadacha parazit–khozyain”, Dinamika biologicheskikh populyatsii, Gorkii, 1984, 16–29

[5] Kolesov A. Yu., “Migratsionnye effekty v odnovidovom biotsenoze”, Nelineinye kolebaniya i ekologiya, Yaroslavl, 1984, 34–61 | MR

[6] Kaschenko S. A., Kolesov Yu. S., “Diffuzionnaya neustoichivost tora”, DAN SSSR, 281:6 (1985), 1307–1309 | MR | Zbl

[7] Kaschenko S. A., Kolesov Yu. S., “O diffuzionnoi neustoichivosti tora”, Matem. i vychisl. metody v biologii, Puschino, 1985, 82–84

[8] Avtovolnovye protsessy v sistemakh s diffuziei, Sb. nauch. trudov, ed. M. T. Grekhova, Gorkii, 1981

[9] Eidelman S. D., Parabolicheskie sistemy, Nauka, M., 1964 | MR | Zbl

[10] Krasnoselskii M. A., Burd V. Sh., Kolesov Yu. S., Nelineinye periodicheskie kolebaniya, Nauka, M., 1970 | MR