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Stability of the permanent rotations of a self-excited rigid body

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  1. 1.

    Grammel, R., Die stationären Bewegungen des selbsterregten Kreisels und ihre Stabilität. Ing. Arch. 21, 149–156 (1953).

  2. 2.

    Krasovskii, N.N., Stability of Motion. Stanford: Stanford University Press 1963.

  3. 3.

    Lasalle, J., & S. Lefschetz, Stability by Liapunov's Direct Method with Applications. New York: Academic Press 1961.

  4. 4.

    Leimanis, E., The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point. Berlin and New York: Springer 1965.

  5. 5.

    Sansone, G., & R. Conti, Nonlinear Differential Equations. New York: MacMillan Company 1964.

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Communicated by E. Leimanis

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Lee, R. Stability of the permanent rotations of a self-excited rigid body. Arch. Rational Mech. Anal. 29, 336–343 (1968).

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