ResearchBib Share Your Research, Maximize Your Social Impacts
Sign for Notice Everyday Sign up >> Login

The atlas of the diagrams for the generalization of the 4th Appelrot class of especially remarkable motions to a gyrostat in a double force field

Journal: Mekhanika tverdogo tela (Vol.42, No. 1)

Publication Date:

Authors : ; ; ;

Page : 61-75

Keywords : gyrostat; double force field; bifurcation diagram;

Source : Downloadexternal Find it from : Google Scholarexternal

Abstract

For the system with two degrees of freedom, which is an analogue of the 4th Appelrot class for a gyrostat of the Kowalevski type in a double force field the problem of the classification of bifurcation diagrams is solved. The separating set is built and its completeness is proved. All transformations taking place in the diagrams are shown. The results serve as a necessary part of solving the problem of obtaining the topological invariants for the Reyman?Semenov-Tian-Shansky system.

Last modified: 2013-08-08 07:30:02