Stability analysis of some integrable euler equations for SO(n)

Journal of Nonlinear Mathematical Physics

Volumn 10, Issue 3, 2003, Pages 304-317

  Feher L ^a   Marshall, I ^b  

^a UNIVERSITY OF SZEGED   (Hungary)

^b EPFL   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042524642     PISSN: 14029251     EISSN: 17760852     Source Type: Journal    
DOI: 10.2991/jnmp.2003.10.3.4     Document Type: Article

References (7)

1. Manakov, S P. 1976. A Remark on the Integration of the Eulerian Dynamics of an n-Dimensional Rigid Body. Funct. Anal. Pril., 10(4):93–94. (in Russian)
2. Marsden J E, Ratiu T S, Introduction to Mechanics and Symmetry, Springer, 1999
3. Mishchenko, A S. 1970. Integrals of Geodesic Flows on Lie Groups. Funct. Anal. Pril., 4(3):73–77. (in Russian)
4. Mishchenko, A S, and Fomenko, A T. 1978. Euler Equations on Finite-Dimensional Lie Groups. Izv. Akad. Nauk SSSR (Math. Ser.), 42(2):396–415. (in Russian)
5. Fomenko, A T, and Trofimov, V V. 1988. Integrable Systems on Lie Algebras and Symmetric Spaces, Gordon and Breach:Advanced Studies in Contemporary Mathematics.
6. Hirsch, M W, and Smale, S. 1974. Differential Equations, Dynamical Systems and Linear Algebra, Academic Press.
7. Arnold V I, Mathematical Methods of Classical Mechanics, Second Ed., Springer, 1989