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Perelomov, A. M.

Equilibrium configurations and small oscillations of some dynamical systems. (English) Zbl 0427.70024

Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 28, 407-415 (1978).
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Cited in 2 Documents

MSC:

70G10 Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics
34C10 Oscillation theory, zeros, disconjugacy and comparison theory for ordinary differential equations

Keywords:

small oscillations; dynamical systems; equilibrium configurations
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\textit{A. M. Perelomov}, Ann. Inst. Henri Poincaré, Nouv. Sér., Sect. A 28, 407--415 (1978; Zbl 0427.70024)
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References:

[1] F. Calogero , Equilibrium Configuration of the One-Dimensional n-Body Problem with Quadratic and Inversely Quadratic Pair Potentials . Lett. , Nuovo Cimento , t. 20 , 1978 , p. 251 . MR 483849
[2] T.J. Stieltjes , Comptes Rendus , t. 100 , 1885 , p. 439 , 620 . JFM 17.0062.01 · JFM 17.0062.01
[3] A. Erdelyi (ed.) , Higher Transcendental Functions , McGraw-Hill , New York , 1953 , v. 2 . Zbl 0052.29502 · Zbl 0052.29502
[4] M.A. Olshanetsky , A.M. Perelomov , Invent. Math. , t. 37 , 1976 , p. 93 . MR 426053 | Zbl 0342.58017 · Zbl 0342.58017
[5] M.A. Olshanetsky , A.M. Perelomov , Quantum systems connected with root systems and radial parts of Laplace operators . Functional Analysis and Appl. t. 12 , 1978 , n^\circ 2 , p. 60 . MR 498899 | Zbl 0407.43012 · Zbl 0407.43012
[6] F. Calogero , Lett. N. C. , t. 19 , 1977 , p. 505 ; Nuovo Cim., B (in press).
[7] N. Bourbaki , Groupes et algebras de Lie , Chapitres 4, 5 et 6, Hermann , 1969 . Zbl 0186.33001 · Zbl 0186.33001
[8] A.M. Perelomov , preprint ITEP No 27, 1976 . MR 650256
[9] M.A. Olshanetsky , A.M. Perelomov , Lett. Math. Phys. , t. 1 , 1976 , p. 187 . Zbl 0343.70010 · Zbl 0343.70010
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