On integrability of the Euler-Poisson equations

Journal of Mathematical Sciences

Volumn 152, Issue 4, 2008, Pages 479-489

  Bruno, A D ^a   Edneral, V F ^b  

^a KELDYSH INSTITUTE OF APPLIED MATHEMATICS   (Russian Federation)

^b MOSCOW STATE UNIVERSITY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 51749117810     PISSN: 10723374     EISSN: 15738795     Source Type: Journal    
DOI: 10.1007/s10958-008-9085-4     Document Type: Article

References (7)

1. A. D. Bruno, "Analytical form of differential equations. I," Trans. Moscow Math. Soc., 25, 131-288 (1971).
2. A. D. Bruno, Local Methods in Nonlinear Differential Equations, Springer, Berlin (1989).
3. A. D. Bruno, Power Geometry in Algebraic and Differential Equations, Elsevier Science, Amsterdam (2000).
4. A. D. Bruno, Theory of Normal Forms of the Euler-Poisson Equations [in Russian], Preprint No. 100 of the Keldysh Institute of Applied Mathematics of the RAS, Moscow (2005).
5. A. D. Bruno and V. F. Edneral, "Normal forms and integrability of ODE systems," in: V. G. Ganzha (ed.) et al., Computer Algebra in Scientific Computing. 8th Int. Workshop, CASC 2005, Kalamata, Greece, September 12-16, 2005. Proceedings, Lect. Notes Comput. Sci., Vol. 3718, Springer, Berlin (2005), pp. 65-74.
6. V. V. Golubev, Lectures on Integration of Equations of Motion of a Rigid Body around a Fixed Point [in Russian], GITTL, Moscow (1953).
7. S. L. Ziglin, "Branching solutions and nonexistence of integrals in the Hamiltonian mechanics. I, II," Funkts. Anal. Prilozhen., 16, No. 3, 30-41 (1982); 17, No. 1, 8-23 (1983).