References
H. Ziegler, Ing. Archiv. 20, 49 (1952).
V. V. Bolotin, Nonconservative Problems in the Theory of Elastic Stability (Fizmatgiz, Moscow, 1961; Pergamon, London, 1965).
V. V. Bolotin and N. I. Zhinzher, Int. J. Solids Struct. 5, 965 (1969).
A. P. Seyranian, Usp. Mekh. 13(2), 89 (1990).
A. P. Seyranian, Izv. Ross. Akad. Nauk, Mekh. Tverd. Tela, No. 1, 142 (1994).
V. F. Zhuravlev, Izv. Akad. Nauk, Mekh. Tverd. Tela, No. 6, 13 (1992).
A. P. Seyranian, Dokl. Akad. Nauk 348, 323 (1996) [Phys. Dokl. 41, 214 (1996)].
O. N. Kirillov, How Do Small Velocity-Dependent Forces (De)stabilize a Non-Conservative System? (Danish Center for Applied Mathematics and Mechanics-DCAMM, Copenhagen, 2003), Rep. No. 681.
V. I. Arnold, Additional Chapters of the Theory of Ordinary Differential Equations (Nauka, Moscow, 1978; Springer, New York, 1983).
H. Bilharz, Z. Angew. Math. Mech. 24, 77 (1944).
Y. Sugiyama, in Modern Problems of Structural Stability (Springer, Vienna, 2002), pp. 341–394.
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Translated from Doklady Akademii Nauk, Vol. 395, No. 5, 2004, pp. 614–620.
Original Russian Text Copyright © 2004 by Kirillov.
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Kirillov, O.N. Destabilization paradox. Dokl. Phys. 49, 239–245 (2004). https://doi.org/10.1134/1.1753620
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DOI: https://doi.org/10.1134/1.1753620