kovacic algorithm
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Application of the Kovacic Algorithm to the Problem of Rolling of a Heavy Homogeneous Ball on a Surface of Revolution

Communications in Computer and Information Science - Mathematical Modeling and Supercomputer Technologies ◽

10.1007/978-3-030-78759-2_15 ◽

2021 ◽

pp. 169-177

Author(s):

Alexander S. Kuleshov ◽

Darya V. Solomina

Keyword(s):

Surface Of Revolution ◽

Homogeneous Ball ◽

Kovacic Algorithm

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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 ◽

Rigid Body ◽

Heavy Rigid Body ◽

Kovacic Algorithm

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Investigation of the Motion of a Heavy Body of Revolution on a Perfectly Rough Plane by the Kovacic Algorithm

Journal of Mathematical Sciences ◽

10.1007/s10958-020-04705-4 ◽

2020 ◽

Vol 245 (4) ◽

pp. 417-497

Author(s):

A. S. Kuleshov ◽

G. A. Chernyakov

Keyword(s):

Body Of Revolution ◽

Heavy Body ◽

Rough Plane ◽

Kovacic Algorithm

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Complexity in spatio-temporal dynamics

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s0308210500022587 ◽

1995 ◽

Vol 125 (5) ◽

pp. 959-974 ◽

Cited By ~ 1

Author(s):

D. L. Rod ◽

B. D. Sleeman

Keyword(s):

Dynamical Systems ◽

Hamiltonian Systems ◽

Temporal Dynamics ◽

Degree Of Freedom ◽

Kovacic Algorithm ◽

Spatio Temporal ◽

Two Degree Of Freedom

Complex and chaotic structures in certain dynamical systems in biology arise as a consequence of noncomplete integrability of two-degree-of-freedom Hamiltonian systems. A study of this problem is made using Ziglin theory and implemented with the aid of the Kovacic algorithm.

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