@article{CM_1992__82_3_275_0, author = {Gavrilov, Ljubomir}, title = {Non-integrability of the equations of heavy gyrostat}, journal = {Compositio Mathematica}, pages = {275--291}, publisher = {Kluwer Academic Publishers}, volume = {82}, number = {3}, year = {1992}, mrnumber = {1163218}, zbl = {0748.70003}, language = {en}, url = {http://archive.numdam.org/item/CM_1992__82_3_275_0/} }
Gavrilov, Ljubomir. Non-integrability of the equations of heavy gyrostat. Compositio Mathematica, Tome 82 (1992) no. 3, pp. 275-291. http://archive.numdam.org/item/CM_1992__82_3_275_0/
[1] Phys. 21 (1980), 715. | MR | Zbl
, and :[2] Algebraic Completely Integrable Systems: A Systematic Approach, Academic Press, to appear.
and :[3] Acta Math. 11 (1887), 25-96. | JFM
:[4] Non-integrability of a class of differential equations which are not of Painlevé type, Compt. Rend. Acad. Bulg. Sci. 41 (1988), 21-24. | MR | Zbl
:[5] On the integrable cases of the equations of heavy gyrostat, Annuaire de l'Universite de Sofia Mécanique 80 (1986) in Russian.
:[6] Remarks on the equations of heavy gyrostat, Compt. Rend. Acad. Bulg. Sci. 42 (1989), 17-20. | MR | Zbl
:[7] Lectures on the integration of equations of motion of a rigid body about a fixed point,Haifa: Israel, 1960. | MR | Zbl
:[8] Classical problems in rigid body dynamics,Naukova Dumka: Kiev, 1978 in Russian.
: and :[9] Principles of Algebraic Geometry, Wiley-Interscience, New York (1978). | MR | Zbl
and :[10] J. Reine und Angew. Math 116 (1896), 265-306 and J. Reine und Angew. Math. 117 (1897), 104-128, 254-266. | JFM
:[11] Recherche des intégrales algébriques dans le mouvement d'un solide pesant autour d'un point fixe, Ann. Fac. Sci. Univ. Toulouse Serie 2 8 (1906), 73-152 and Acta Math. 31 (1907), 71. | JFM | Numdam
:[12] PMM USSR 28 (1964), 633-639. | Zbl
:[13] Methods for Qualitative Analysis in Rigid Body Dynamics, Moscow University Press, Moscow (1980). | MR
:[14] Abelian surfaces and Kowalewski's top, Ann. Scient. Ec. Norm. Sup. 4e série 21 (1988), 193-223. | Numdam | MR | Zbl
:[15] J. Mecan. Theor. Appl. 5 (1986), 747-754. | MR | Zbl
:[16] Mech. Res. Commun. 13 (1986), 169-172. | MR | Zbl
:[17] Celest. Mech. 31 (1983), 363-379 and 31 (1983), 381-399. | MR | Zbl
:[18] Funct. Anal. Appl. 16 (1983), 181-189 and 17 (1983), 6-17. | Zbl
: