Topological analysis of the motion of an ellipsoid on a~smooth plane
    
    
  
  
  
      
      
      
        
Sbornik. Mathematics, Tome 199 (2008) no. 6, pp. 871-890
    
  
  
  
  
  
    
      
      
        
      
      
      
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              			The problem of the motion of a dynamically and geometrically symmetric heavy ellipsoid on a smooth horizontal plane is investigated. The problem is integrable and can be considered a generalization of the problem of motion of a heavy rigid body with fixed point in the Lagrangian case. The Smale bifurcation diagrams are constructed. Surgeries of tori are investigated using methods developed by Fomenko and his students. 
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      @article{SM_2008_199_6_a3,
     author = {M. Yu. Ivochkin},
     title = {Topological analysis of the motion of an ellipsoid on a~smooth plane},
     journal = {Sbornik. Mathematics},
     pages = {871--890},
     publisher = {mathdoc},
     volume = {199},
     number = {6},
     year = {2008},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/SM_2008_199_6_a3/}
}
                      
                      
                    M. Yu. Ivochkin. Topological analysis of the motion of an ellipsoid on a~smooth plane. Sbornik. Mathematics, Tome 199 (2008) no. 6, pp. 871-890. http://geodesic.mathdoc.fr/item/SM_2008_199_6_a3/