This article is cited in 31 papers

Topology of Liouville foliations in the Steklov and the Sokolov integrable cases of Kirchhoff's equations

P. V. Morozov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: This paper is devoted to the investigation of the topology of the Liouville foliations of the Steklov and the Sokolov integrable cases of Kirchhoff's equations. All isoenergy and loop molecules of these Hamiltonian systems are calculated and a classification of their non-degenerate equilibria is presented.

UDC: 515.1+521

MSC: Primary 37J35, 70E40; Secondary 70H06

Received: 09.06.2003

DOI: 10.4213/sm809

 English version: Sbornik: Mathematics, 2004, 195:3, 369–412

Bibliographic databases:

• 
• 
• 
• 
•