Geodesic
Application of techniques of relaxation oscillations to a system of differential-difference equations from ecology
Sbornik. Mathematics, Tome 81 (1995) no. 1, pp. 77-86 Cet article a éte moissonné depuis la source Math-Net.Ru

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The paper is devoted to the construction of a long-period cycle, modelling a certain ecology problem, of a system of two differential-difference equations smoothly depending on a small parameter. 
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A. Yu. Kolesov. Application of techniques of relaxation oscillations to a system of differential-difference equations from ecology. Sbornik. Mathematics, Tome 81 (1995) no. 1, pp. 77-86. http://geodesic.mathdoc.fr/item/SM_1995_81_1_a4/

[1] Mischenko E. F., Pontryagin L. S., “Periodicheskie resheniya sistem differentsialnykh uravnenii, blizkikh k razryvnym”, DAN SSSR, 102:5 (1955), 889–891 | MR | Zbl

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

[3] Kolesov A. Yu., Kolesov Yu. S., Mischenko E. F., Rozov N. Kh., “Asimptoticheskoe integrirovanie sistemy v variatsiyakh mnogomernogo relaksatsionnogo tsikla. I; II”, Differents. uravneniya, 23:11 (1987), 1881–1889 | MR

[4] Kolesov A. Yu., Kolesov Yu. S., Mischenko E. F., Rozov N. Kh., “Relaksatsionnaya sistema v okrestnosti tochki sryva: svedenie k regulyarnomu sluchayu”, UMN, 43:2 (1988), 141–142 | MR

[5] Kolesov A. Yu., Mischenko E. F., “Asimptotika relaksatsionnykh kolebanii”, Matem. sb., 137(179) (1988), 3–18

[6] Mischenko E. F., Kolesov A. Yu., “Asimptoticheskaya teoriya relaksatsionnykh kolebanii”, Tr. MIAN, 197, Nauka, M., 1991, 3–84 | Zbl

[7] Zakharov A. A., Kolesov Yu. S., Spokoinov A. N., Fedotov N. B., “Teoreticheskoe ob'yasnenie desyatiletnego tsikla kolebanii chislennosti mlekopitayuschikh v Kanade i Yakutii”, Issledovaniya po ustoichivosti i teorii kolebanii, Yaroslavl, 1980, 79–131

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

[9] Hale J. K., Functional differentional equations, Springer-Verlag, New York, 1971 | MR | Zbl

[10] Kolesov Yu. S., Shvitra D. I., Avtokolebaniya v sistemakh s zapazdyvaniem, Mokslas, Vilnyus, 1979 | MR | Zbl