Kowalewski top and complex Lie algebras

[1]  O. Bogoyavlensky New integrable problem of classical mechanics , 1984 .

[2]  A. Bobenko,et al.  The Kowalewski top 99 years later: A Lax pair, generalizations and explicit solutions , 1989 .

[3]  Velimir Jurdjevic,et al.  Optimal Control and Geometry: Integrable Systems , 2016 .

[4]  I. V. Komarov Kowalewski basis for the hydrogen atom , 1981 .

[5]  V. Dragović,et al.  New examples of systems of the Kowalevski type , 2011, 1109.4296.

[6]  I. Komarov,et al.  Kowalewski's top on the Lie algebras o(4), e(3), and o(3,1) , 1990 .

[7]  E. Horozov,et al.  A lax pair for Kowasevski's top , 1987 .

[8]  S. Manakov,et al.  Note on the integration of Euler's equations of the dynamics of an n-dimensional rigid body , 1976 .

[9]  Sophie Kowalevski,et al.  Sur le probleme de la rotation d'un corps solide autour d'un point fixe , 1889 .

[10]  Vladimir V. Sokolov,et al.  A New Integrable Case for the Kirchhoff Equation , 2001 .

[11]  P. Moerbeke,et al.  The Kowalewski and Hénon-Heiles motions as Manakov geodesic flows onSO(4) — a two-dimensional family of Lax pairs , 1988 .

[12]  Anatoliĭ Timofeevich Fomenko,et al.  Euler equations on finite-dimensional Lie groups , 1978 .

[13]  A. Fomenko,et al.  Liouville integrability of Hamiltonian systems on Lie algebras , 1984 .

[14]  A. Tsiganov,et al.  On a trajectory isomorphism of the Kowalevski gyrostat and the Clebsch problem , 2004, nlin/0412041.

[15]  A. Weil Euler and the Jacobians of Elliptic Curves , 1983 .

[16]  V. Dragović,et al.  Systems of Kowalevski type and discriminantly separable polynomials , 2013, 1304.2568.

[17]  P. Moerbeke,et al.  The full Geometry of Kowalewski's top and (1, 2)‐abelian surfaces , 1989 .

[18]  I. Marshall The Kowalevski Top: its r-Matrix Interpretation and Bihamiltonian Formulation , 1998 .

[19]  Cristian Ivanescu,et al.  The Kowalevski top as a reduction of a Hamiltonian system on (4,ℝ)* , 2002 .

[20]  A. Tsiganov New variables of separation for particular case of the Kowalevski top , 2010, 1001.4599.

[21]  A. Reyman,et al.  Lax representation with a spectral parameter for the Kowalewski top and its generalizations , 1987 .

[22]  V. Dragović Geometrization and Generalization of the Kowalevski Top , 2010 .

[23]  Integrable Hamiltonian systems on Lie groups: Kowalewski type , 1999, math/9909195.

[24]  A. Kirillov Lectures on the Orbit Method , 2004 .

[25]  A. Love A treatise on the mathematical theory of elasticity , 1892 .

[26]  V. Jurdjevic Integrable Hamiltonian Systems on Complex Lie Groups , 2005 .