On the integrability of the motion of a heavy particle on a tilted cone and the swinging Atwood machine

Author:

Yehia H.M.

Publisher

Elsevier BV

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics,General Materials Science,Civil and Structural Engineering

Reference23 articles.

1. Integrable cases of a rigid body dynamics and integrable systems on the ellipsoids;Bogoyavlensky;Commun. Math. Phys.,1986

2. Theoretical Mechanics;Bradbury,1968

3. Swinging Atwood’s machine: integrability and dynamics;Casasayas;J. Phys. France,1990

4. Chaplygin, C.A., 1948. On the paraboloidal pendulum, Tr. Otdel. Fiz. Nauk Obsh. Liob. Est., 10, No. 1 (1898) (See also: Chaplygin C.A., Collected works, Vol. I, 102–109, OGIZ, Moscow—Leningrad).

5. A completely integrable Hamiltonian motion on the surface of a sphere;Gaffet;J. Phys. A: Math. Gen.,1998

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