Geodesic
The electronic atlas of bifurcation diagrams of the Kowalevski--Yehia gyrostat
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2011), pp. 147-162

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The integrable case of Kowalevski–Yehia in the dynamics of a gyrostat is considered. We present a new approach to classifying the bifurcation diagrams of reduced systems. We find efficiently checked existence conditions for the critical motions on the area integral constant sections of the surfaces bearing the 3-diagram of the complete system. The cases where these conditions qualitatively change give the analytical expressions of the dependencies between the area constant and the gyrostatic momentum forming the classifying set for the two-parametric family of the reduced systems' diagrams. Finally, we present a computer system, which satisfies the given definition of the electronic atlas.
Keywords: integrable Hamiltonian system, bifurcation diagram, electronic atlas. 
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     author = {I. I. Kharlamova and P. E. Ryabov},
     title = {The electronic atlas of bifurcation diagrams of the {Kowalevski--Yehia} gyrostat},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {147--162},
     publisher = {mathdoc},
     number = {2},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2011_2_a10/}
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I. I. Kharlamova; P. E. Ryabov. The electronic atlas of bifurcation diagrams of the Kowalevski--Yehia gyrostat. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2011), pp. 147-162. http://geodesic.mathdoc.fr/item/VUU_2011_2_a10/