Geodesic
Chaotic motion of top with displaced mass center
Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 2, pp. 90-95

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The motion of solid body with a small displacement mass center from the axis of dynamic symmetry has been studied. Analytical conditions for the existence of a hyperbolic singular point in the phase portrait of the system and the analytical solution for the separatrices have been obtained. Body makes a chaotic motion near separatrices under the influence of small perturbations caused by the asymmetry of the body. Using the numerical simulation based on the Melnikov method in interpretation of Holmes–Marsden confirmation of the chaotic motion system has been received. This has been illustrated by a series of Poincare sections. 
@article{ISU_2012_12_2_a12,
     author = {D. A. Losyakova},
     title = {Chaotic motion of top with displaced mass center},
     journal = {Izvestiya of Saratov University. Mathematics. Mechanics. Informatics},
     pages = {90--95},
     publisher = {mathdoc},
     volume = {12},
     number = {2},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ISU_2012_12_2_a12/}
}
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D. A. Losyakova. Chaotic motion of top with displaced mass center. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, Tome 12 (2012) no. 2, pp. 90-95. http://geodesic.mathdoc.fr/item/ISU_2012_12_2_a12/