Geodesic
Asymptotic analysis of a subharmonic autoresonance model
Trudy Instituta matematiki i mehaniki, Asymptotic expansions, approximation theory, topology, Tome 9 (2003) no. 1, pp. 56-63 Cet article a éte moissonné depuis la source Math-Net.Ru

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R. N. Garifullin. Asymptotic analysis of a subharmonic autoresonance model. Trudy Instituta matematiki i mehaniki, Asymptotic expansions, approximation theory, topology, Tome 9 (2003) no. 1, pp. 56-63. http://geodesic.mathdoc.fr/item/TIMM_2003_9_1_a7/

[1] Golovaninskii K. S., “Gidromagnitnyi avtorezonans s peremennoi chastotoi”, Fizika plazmy, 11:3 (1985), 295–299

[2] Aranson I., Meerson B., Tajima T., “Excitation of solitons by an external resonant wave with a slowly varying phase velocity”, Phys. Rev. A, 45 (1992), 7500–7510 | DOI

[3] Friedland L., “Autoresonant excitation and evolution of nonlineat waves: The variational approach”, Phys. Rev. E, 55 (1997), 1929–1939 | DOI

[4] Friedland L., Shagalov A. G., “Excitation of solitons by adiabatic multiresonant forcing”, Phys. Rev. Lett., 81 (1998), 4357–4360 | DOI

[5] Friedland L., “Subharmonic autoresonance”, Phys. Rev. E, 61 (2000), 3732–3735 | DOI

[6] Naife A., Metody vozmuschenii, Mir, M., 1976, 455 pp. | MR

[7] Moiseev N. N., Asimptoticheskie metody nelineinoi mekhaniki, Nauka, M., 1981, 400 pp. | MR

[8] Dobrokhotov S. Yu., Maslov V. P., “Konechnozonnye pochti periodicheskie resheniya v VKB-priblizheniyakh”, Itogi nauki i tekhniki. Sovrem. prob. matematiki, 15, VINITI, 1980, 3–94 | MR

[9] Azhotkin V. D., Babich V. M., “O primenenii metoda dvukhmasshtabnykh razlozhenii k odnochastotnoi zadache teorii nelineinykh kolebanii”, Prikl. matematika i mekhanika, 49:3 (1985), 377–383 | MR | Zbl

[10] Kalyakin L. A., “Asymptotic analysis of an autoresonance model”, Russ. J. Math. Phys., 9:1 (2002), 84–95 | MR | Zbl

[11] Kalyakin L. A., “Asimptotika reshenii uravnenii glavnogo rezonansa na beskonechnosti”, Dokl. RAN, 388:3 (2003), 305–308 | MR