The Spherical Kapitza – Whitney Pendulum

Author:

Polekhin Ivan Yu.

Publisher

Pleiades Publishing Ltd

Subject

Mathematics (miscellaneous)

Reference24 articles.

1. Stephenson, A., On Induced Stability, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science (6), 1908, vol. 15, no. 86, pp. 233–236.

2. Bogolubov, N. N., Perturbation Theory in Nonlinear Mechanics, Sb. Tr. Inst. Stroit. Mekh. Akad. Nauk Ukr. SSR, 1950, no. 14, pp. 9–34 (Russian).

3. Kapitza, P. L., Pendulum with a Vibrating Suspension, Usp. Fiz. Nauk,1951, vol. 44, no. 1, pp. 7–20 (Russian). See also: Collected Papers of P. L. Kapitza: Vol. 2, D. ter Haar (Ed.), Oxford: Pergamon, 1965, pp. 726–737.

4. Kapitza, P. L., Dynamical Stability of a Pendulum When Its Point of Suspension Vibrates, Zh. Èksp. Teor. Fiz.,, 1951, vol. 21, no. 5, pp. 588–597 (Russian). See also: Collected Papers of P. L. Kapitza: Vol. 2, D. ter Haar (Ed.), Oxford: Pergamon, 1965, pp. 714–725.

5. Artstein, Z., The Pendulum under Vibrations Revisited, Nonlinearity, 2021, vol. 34, no. 1, pp. 394–410.

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