Mathematics

Bihamilon structure and singularities of momentum mapping for Lagrange top

M. A. Tuzhilin

Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: A new approach to the problem of describing the singularities of the momentum mapping for the Lagrange top is presented in the paper. Previous results were obtained with the use of the bi-Hamiltonian structure. A simple and convenient technique for determination of singular points and their type is presented.

Key words: Lagrange top, bi-Hamiltonian structure, stability problem.

UDC: 514.853

Received: 29.11.2013

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2015, 70:2, 74–78

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