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math.CA2018
Precession of the Kovalevskaya and Goryachev-Chaplygin tops
Ivan Polekhin
The change of the precession angle is studied analytically and numerically for the integrable tops of Kovalevskaya and Goryachev-Chaplygin. Based on the known results on the topolo…
math.CA2018
On motions without falling of an inverted pendulum with dry friction
Ivan Polekhin
An inverted planar pendulum with horizontally moving pivot point is considered. It is assumed that the law of motion of the pivot point is given and the pendulum is moving in the p…