Application of the Kovacic Algorithm to the Problem of Motion of a Heavy Rigid Body with a Fixed Point in a Hess Case

2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB) ◽

10.1109/stab49150.2020.9140715 ◽

2020 ◽

Author(s):

Alexander S. Kuleshov

Keyword(s):

Fixed Point ◽

Heavy Rigid Body ◽

Kovacic Algorithm

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The sufficient conditions for the existence of asymptotically pendulum-like motions of a heavy rigid body with a fixed point

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(86)90020-1 ◽

1986 ◽

Vol 50 (4) ◽

pp. 522-525 ◽

Author(s):

A.Z. Bryum ◽

G.V. Gorr

Keyword(s):

Fixed Point ◽

Sufficient Conditions ◽

Heavy Rigid Body

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Solution of equations of problem of motion of a heavy rigid body about a fixed point in the Kowalevskaya's case using ?-function

Celestial Mechanics ◽

10.1007/bf01229138 ◽

1983 ◽

Vol 29 (3) ◽

pp. 249-253 ◽

Author(s):

F. M. El-Sabaa

Keyword(s):

Fixed Point ◽

Solution Of Equations ◽

Heavy Rigid Body

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A Note on the Stability of Permanent Rotations of a Heavy Rigid Body With a Fixed Point

Journal of Applied Mechanics ◽

10.1115/1.3423536 ◽

1975 ◽

Vol 42 (1) ◽

pp. 239-240

Author(s):

D. J. McGill ◽

L. S. Long

Keyword(s):

Fixed Point ◽

Heavy Rigid Body ◽

The Stability ◽

Permanent Rotations

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First integrals in the problem ofthe motion of a heavy rigid body about a fixed point under unilateral constraint

Journal of Applied Mathematics and Mechanics ◽

10.1016/j.jappmathmech.2005.03.004 ◽

2005 ◽

Vol 69 (2) ◽

pp. 195-198 ◽

Author(s):

A.A. Burov

Keyword(s):

Fixed Point ◽

Unilateral Constraint ◽

First Integrals ◽

Heavy Rigid Body

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Small oscillations of a heavy rigid body around a fixed point and certain cases of existence of “linear integrals”

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(73)90095-6 ◽

1973 ◽

Vol 37 (3) ◽

pp. 520-524

Author(s):

F.Kh. Tsel'man

Keyword(s):

Fixed Point ◽

Small Oscillations ◽

Heavy Rigid Body ◽

Linear Integrals

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On the fast rotation of a heavy rigid body about a fixed point

Journal of Applied Mathematics and Mechanics ◽

10.1016/0021-8928(80)90006-4 ◽

1980 ◽

Vol 44 (6) ◽

pp. 713-720

Author(s):

V.N. Bogaevskii ◽

L.A. Ostrer

Keyword(s):

Fixed Point ◽

Fast Rotation ◽

Heavy Rigid Body

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On the Stability of Plane Motion of Heavy Rigid Body about a Fixed Point

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.19870671214 ◽

1987 ◽

Vol 67 (12) ◽

pp. 641-648 ◽

Author(s):

H. M. Yehia

Keyword(s):

Fixed Point ◽

Plane Motion ◽

Heavy Rigid Body ◽

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On the motion of a heavy rigid body about a fixed point

Acta Mechanica ◽

10.1007/bf01213538 ◽

1990 ◽

Vol 85 (1-2) ◽

pp. 1-11 ◽

Author(s):

S. I. Popov

Keyword(s):

Fixed Point ◽

Heavy Rigid Body

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A kinematic interpretation of the motion of a heavy rigid body with a fixed point

Journal of Applied Mathematics and Mechanics ◽

10.1016/j.jappmathmech.2014.09.005 ◽

2014 ◽

Vol 78 (3) ◽

pp. 233-241

Author(s):

G.V. Gorr ◽

A.I. Sinenko

Keyword(s):

Fixed Point ◽

Heavy Rigid Body

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Symmetry lines of the dynamics of a heavy rigid body with a fixed point

Il Nuovo Cimento B ◽

10.1007/bf02874310 ◽

1989 ◽

Vol 103 (4) ◽

pp. 369-387 ◽

Author(s):

O. Chavoya-Aceves ◽

E. Piña

Keyword(s):

Fixed Point ◽

Heavy Rigid Body

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