Geodesic
Existence and stability of rapidly oscillating cycles for the nonlinear telegraph equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 8, pp. 1287-1300 
V. F. Kambulov; A. Yu. Kolesov; N. Kh. Rozov. Existence and stability of rapidly oscillating cycles for the nonlinear telegraph equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 8, pp. 1287-1300. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_8_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Mischenko E. F., Pontryagin L. S., “Periodicheskie resheniya sistem differentsialnykh uravnenii, blizkie k razryvnym”, Dokl. AN SSSR, 102:5 (1955), 889–891

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

[3] Mishchenko E. F., Kolesoy Yu. S., Kolesov A. Yu., Rozov N. Kh., Asymptotic methods in singularly perturbed systems, Plenum Publ. Co., New York–London, 1994

[4] Mischenko E. F., Kolesov Yu. S., Kolesov A. Yu., Rozov N. Kh., Periodicheskie dvizheniya i bifurkatsionnye protsessy v singulyarno vozmuschennykh sistemakh, Fizmatgiz, M., 1995

[5] Kolesov A. Yu., Kolesov Yu. S., “Relaksatsionnye kolebaniya v matematicheskikh modelyakh ekologii”, Tr. MIRAN, 199, M., 1993 | Zbl

[6] Bogolyubov N. N., Mitropolskii Yu. A., Asimptoticheskie metody v teorii nelineinykh kolebanii, Nauka, M., 1974

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

[8] Kolesov Yu. S., Maiorov B. V., “Novyi metod issledovaniya ustoichivosti reshenii lineinykh differentsialnykh uravnenii s blizkimi k postoyannym pochti periodicheskimi koeffitsientami”, Differents. ur-niya, 10:10 (1974), 1778–1788 | MR | Zbl

[9] Kolesov A. Yu., “Ustoichivost avtokolebanii telegrafnogo uravneniya, bifurtsiruyuschikh iz sostoyaniya ravnovesiya”, Matem. zametki, 51:2 (1992), 59–65 | MR | Zbl

[10] Kolesov A. Yu., Kolesov Yu. S., “Bifurkatsiya avtokolebanii singulyarno vozmuschennogo volnovogo uravneniya”, Dokl. AN SSSR, 315:12 (1990), 281–283 | Zbl

[11] Kolesov Yu. S., “Bifurkatsiya invariantnykh torov parabolicheskikh sistem s maloi diffuziei”, Matem. sb., 184:3 (1993), 121–136 | Zbl