The dynamics of a spherical pendulum with a vibrating suspension

Journal of Applied Mathematics and Mechanics

Volumn 63, Issue 2, 1999, Pages 205-211

  Markeyev, A P ^a  

^a NONE

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033246084     PISSN: 00218928     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0021-8928(99)00028-3     Document Type: Article

References (13)

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2. 2. Bogolyubov, N. N., Perturbation theory in non-linear mechanics. Collected Papers of the Institute of Structural Mechanics, Academy of Sciences of the UkrSSSR, 1950, 14, 9-34.
3. 3. Kapitsa, P. L., The dynamic stability of a pendulum with an oscillating point of suspension. Zh. Eksp. Teor. Fiz., 1951, 21, 5, 588-597.
4. 4. Kapitsa, P. L., A pendulum with a vibrating suspension. Uspekhi Fiz. Nauk, 1951, 44, 1, 7-20.
5. 5. Stephenson, A., On a new type of dynamical stability. Mem. Proc. Manchester Lit. Phil. Soc., 1908, 52, 2, 1-10.
6. 6. Bardin, B. S. and Markeyev, A. P., The stability of the equilibrium of a pendulum with vertical oscillations of the point of suspension. Prikl. Mat. Mekh., 1995, 59, 6, 922-929.
7. 7. Giacaglia, G. E. O., Perturbation Methods in Non-linear Systems. Springer, New York, 1972.
8. 8. Kurosh, A. G., A Course of Higher Algebra. Nauka, Moscow, 1968.
9. 9. Malkin, I. G., Some Problems of the Theory of Non-linear Oscillations. Gostekhizdat, Moscow, 1956.
10. 10. Malkin, I. G., The Theory of the Stability of Motion. Nauka, Moscow, 1966.
11. 11. Arnol'd, V. I., Small denominators and problems of the stability of motion in classical and celestial mechanics. Uspekhi Mat. Nauk, 1963, 18, 6, 91-192.
12. 12. Moser, J. W., Lectures on Hamiltonian Systems. American Mathematical Society, Providence, RI, 1968.
13. 13. Birkhoff, G. D., Dynamical Systems. American Mathematical Society, New York, 1927.