Document Zbl 0329.70008

Über die Instabilität konservativer Systeme mit gyroskopischen Kräften. (German) Zbl 0329.70008

Arch. Ration. Mech. Anal. 58, 1-9 (1975).

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MSC:

70F20	Holonomic systems related to the dynamics of a system of particles
70K20	Stability for nonlinear problems in mechanics
93D05	Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory

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[1]	Pars, L.A., A Treatise on Analytical. Dynamics. London: Heinemann 1968. · Zbl 0125.12004
[2]	Karapetyan, A.V., Inversion of Routh’s Theorem (Übersetzung aus dem Russischen). Moscow University Mechanics Bulletin (5-6), 28, 1-4 (1973).
[3]	Salvadori, L., Un’osservazione su di un criterio di stabilità del Routh. Rend. Ass. Sc. Fis. e Mat. (4), 20, 269-272 (1953).
[4]	Hagedorn, P., Die Umkehrung der Stabilitätssätze von Lagrange-Dirichlet und Routh. Arch. Rational Mech. & Analysis (4), 42, 281-316 (1971). · Zbl 0222.70024
[5]	Hagedorn, P., Eine zusätzliche Bemerkung zu meiner Arbeit: Die Umkehrung der Stabilitäts-sätze von Lagrange-Dirichlet und Routh. Arch. Rational Mech. & Analysis (5), 47, 395 (1972). · Zbl 0242.70031
[6]	Malkin, J.G., Theorie der Stabilität einer Bewegung. Berlin: Akademie-Verlag 1959. · Zbl 0124.30003
[7]	Moser, J., Stable and Random Motions in Dynamical Systems. Princeton University Press 1973 (Annals of Mathematics Studies Nr. 77). · Zbl 0271.70009
[8]	Pozharitskii, G.K., Instability of Motion in Conservative Holonomic Systems (russisch). PMM Journal of Appl. Math. & Mechanics (3), 20, 429-433 (1956).
[9]	Van Chzahao Lin, On the Converse of Routh’s Theorem (Übersetzung aus dem Russischen). PMM Journal of Appl. Math. & Mechanics (5), 27, 1354-1360 (1963). · Zbl 0127.14702 · doi:10.1016/0021-8928(63)90074-1
[10]	Carathéodory, C., Variationsrechnung und partielle Differentialgleichungen erster Ordnung. Leipzig: B.G. Teubner 1935. · JFM 61.0547.01

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