Geodesic
Rubber ball on a plane: singular solutions
Russian journal of nonlinear dynamics, Tome 6 (2010) no. 2, pp. 345-358

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The paper deals with the rolling motion of a balanced, dynamically asymmetric ball on a plane without sliding and spinning. The problem is natural but was not considered by classicists. Generalizations of the problem are analyzed for the case where gyrostat and force Brun field are added. To investigate the dynamic behavior of the system some peculiar periodic solutions are described and their stability is examined. By integral mapping, bifurcation diagrams and bifurcation complexes are constructed.
Mots-clés : bifurcation complex
Keywords: rubber ball, stability, nonholonomic system. 
@article{ND_2010_6_2_a7,
     author = {A. Yu. Moskvin},
     title = {Rubber ball on a plane: singular solutions},
     journal = {Russian journal of nonlinear dynamics},
     pages = {345--358},
     publisher = {mathdoc},
     volume = {6},
     number = {2},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2010_6_2_a7/}
}
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A. Yu. Moskvin. Rubber ball on a plane: singular solutions. Russian journal of nonlinear dynamics, Tome 6 (2010) no. 2, pp. 345-358. http://geodesic.mathdoc.fr/item/ND_2010_6_2_a7/