Analytic classification of singularities in the generalized Kowalevski case
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2010), pp. 19-28
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In the problem of motion of the Kowalevski top on two constant fields (the A. G. Reyman–M. A. Semenov-Tian-Shansky case) the type of all critical points of the momentum map is calculated.
Keywords:
integrable Hamiltonian system, momentum map, bifurcation diagram, type of non-degenerate singularity.
@article{VUU_2010_2_a1,
author = {P. E. Ryabov and M. P. Kharlamov},
title = {Analytic classification of singularities in the generalized {Kowalevski} case},
journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
pages = {19--28},
publisher = {mathdoc},
number = {2},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VUU_2010_2_a1/}
}
TY - JOUR AU - P. E. Ryabov AU - M. P. Kharlamov TI - Analytic classification of singularities in the generalized Kowalevski case JO - Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki PY - 2010 SP - 19 EP - 28 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VUU_2010_2_a1/ LA - ru ID - VUU_2010_2_a1 ER -
%0 Journal Article %A P. E. Ryabov %A M. P. Kharlamov %T Analytic classification of singularities in the generalized Kowalevski case %J Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki %D 2010 %P 19-28 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/VUU_2010_2_a1/ %G ru %F VUU_2010_2_a1
P. E. Ryabov; M. P. Kharlamov. Analytic classification of singularities in the generalized Kowalevski case. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 2 (2010), pp. 19-28. http://geodesic.mathdoc.fr/item/VUU_2010_2_a1/