REFERENCES
Andronov, A.A. and Gorelik, G.A., Dokl. Akad. Nauk SSSR, 1945, vol. 49, no. 9, pp. 664–666.
Golovanivsky, K.S., Phys. Scr., 1980, vol. 22, p. 126.
Golovanevskii, K.S., Fizika Plazmy, 1985, vol. 11, no. 3, pp. 295–299.
Golovanivsky, K.S., IEEE Trans. Plasma Sci., 1983, PS-11, p. 28.
Meerson, B. and Friedland, L., Physical Review A, 1990, vol. 41, pp. 5233–5236.
Fajans, J., Gilson, E., and Friedland, L., Phys. Plasmas, 1999, vol. 6, pp. 4497–4503.
Fajans, J., and Friedland, L., Am. J. Phys., 2001, vol. 69, no. 10, pp. 1096–1102.
Friedland, L., Astophys. J., 2001, vol. 547, part 2, pp. L75–L79.
Veksler, V.I., Dokl. Akad. Nauk SSSR, 1944, vol. 43, no. 8, pp. 346–348.
Veksler, V.I., Dokl. Akad. Nauk SSSR, 1944, vol. 44, no. 9, pp. 393–396.
Livingston, M.S., High-Energy Particle Accelerators, New York, 1954.
Kolomenskii, A.A. and Lebedev, A.N., Teoriya tsiklicheskikh uskoritelei (Theory of Cyclic Accelerators), Moscow, 1962.
Friedland, L., Physics of Plasmas, 2000, vol. 7, no. 5, pp. 1712–1718.
Friedland, L., Physical Review E, 2000, vol. 61, no. 4, pp. 3732–3735.
Haberman, R. and Ho, E.K., J. Appl. Mech., 1990, vol. 62, pp. 941–946.
Kalyakin, L.A., Dokl. RAN, 2001, vol. 378, no. 5, pp. 594–597.
Kalyakin, L.A., Russ. J. Math. Phys., 2002, vol. 9, no. 1, pp. 84–95.
Kalyakin, L.A., Dokl. RAN, 2003, vol. 388, no. 3, pp. 305–308.
Kalyakin, L.A., Proceedings of the Steklov Institute of Mathematics, 2003, supp. 1, pp. S108–S125.
Its, A.R. and Novoksheniv, V.Yu., Lecture Notes in Mathematics, vol. 1191, Berlin, 1980.
Neishtadt, A.I., Prikl. Mat. Mekh., 1975, vol. 39, no. 4, pp. 621–632.
Neishtadt, A.I., Differents. Uravn., 1987, vol. 23, no. 12, pp. 2060–2067.
Glebov, S.G. and Kiselev, O.M., Russ. J. Math. Phys., 2002, vol. 9, no. 1, pp. 60–83.
Fedoryuk, M.V., Asimptoticheskie metody dlya lineinykh obyknovennykh differentsial'nykh uravnenii (Asymptotic Methods for Linear Ordinary Differential Equations), Moscow, 1983.
Fedoryuk, M.V., Zh. Vychislit. Mat. Mat. Fiz., 1986, vol. 26, no. 2, pp. 198–210.
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Kalyakin, L.A. Asymptotic Solution of the Threshold Phenomenon Problem for the Principal Resonance Equations. Differential Equations 40, 780–788 (2004). https://doi.org/10.1023/B:DIEQ.0000046856.44664.af
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DOI: https://doi.org/10.1023/B:DIEQ.0000046856.44664.af