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Some cases of instability of equilibria of natural systems

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Literature cited

  1. P. Hagedorn, “Die Umkehrung der Stabilitätssatze von Lagrange-Dirichlet und Routh,” Arch. Rat. Mech. Anal.,42, No. 4, 281–316 (1971).

    Google Scholar 

  2. N. Rouche, P. Habets, and M. Laloy, Stability Theory by Lyapunov's Direct Method, Appl. Math. Sciences, Vol. 22, Springer-Verlag, New York-Heidelberg-Berlin (1977).

    Google Scholar 

  3. N. G. Chetaev, Stability of Motion: Works on Analytical Mechanics [in Russian], Izd. Akad. Nauk SSSR, Moscow (1962).

    Google Scholar 

  4. A. M. Lyapunov, General Problem of Stability of Motion [in Russian], ONTI, Moscow-Leningrad (1935).

    Google Scholar 

  5. V. V. Kozlov and V. P. Palamodov, “On asymptotic solutions of the equations of classical mechanics,” Dokl. Akad. Nauk SSSR,263, No. 2, 285–289 (1982).

    Google Scholar 

  6. V. V. Rumyantsev, On the Stability of Stationary Motions of Satellites [in Russian], Vychisl. Tsentr Akad. Nauk SSSR, Moscow (1967).

    Google Scholar 

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 37, No. 1, pp. 124–127, 1985.

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Sosnitskii, S.P. Some cases of instability of equilibria of natural systems. Ukr Math J 37, 108–111 (1985). https://doi.org/10.1007/BF01056865

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