@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},
year = {1992},
publisher = {Kluwer Academic Publishers},
volume = {82},
number = {3},
mrnumber = {1163218},
zbl = {0748.70003},
language = {en},
url = {https://www.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. https://www.numdam.org/item/CM_1992__82_3_275_0/
[1] , and : Phys. 21 (1980), 715. | Zbl | MR
[2] and : Algebraic Completely Integrable Systems: A Systematic Approach, Academic Press, to appear.
[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. | Zbl | MR
[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. | Zbl | MR
[7] : Lectures on the integration of equations of motion of a rigid body about a fixed point,Haifa: Israel, 1960. | Zbl | MR
[8] : and : Classical problems in rigid body dynamics,Naukova Dumka: Kiev, 1978 in Russian.
[9] and : Principles of Algebraic Geometry, Wiley-Interscience, New York (1978). | Zbl | MR
[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. | Zbl | MR | Numdam
[15] : J. Mecan. Theor. Appl. 5 (1986), 747-754. | Zbl | MR
[16] : Mech. Res. Commun. 13 (1986), 169-172. | Zbl | MR
[17] : Celest. Mech. 31 (1983), 363-379 and 31 (1983), 381-399. | Zbl | MR
[18] : Funct. Anal. Appl. 16 (1983), 181-189 and 17 (1983), 6-17. | Zbl






