Published February 28, 2000 | Version v1
Journal article Metadata-only

The method of loop molecules and the topology of the Kovalevskaya top

Creators

  • 1. M.V. Lomonosov Moscow State University, Moscow (Russian Federation)
  • 2. Institut fur Theoretische Physik, Universitat Bremen (Germany)

Description

A method for calculating topological invariants of the foliation of a phase space into invariant Liouville tori in the case of integrable Hamiltonian systems with two degrees of freedom is put forward. The structure of this foliation is completely described for the Kovalevskaya integrable case in rigid body dynamics

Availability note (English)

Available from http://dx.doi.org/10.1070/SM2000v191n02ABEH000451

Additional details

Identifiers

DOI
10.1070/SM2000v191n02ABEH000451;

Publishing Information

Journal Title
Sbornik. Mathematics
Journal Volume
191
Journal Issue
2
Journal Page Range
p. 151-188
ISSN
1064-5616

INIS

Country of Publication
United States
Country of Input or Organization
International Atomic Energy Agency (IAEA)
INIS RN
40073326
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Descriptors DEI
DEGREES OF FREEDOM; HAMILTONIANS; INTEGRAL CALCULUS; PHASE SPACE; TOPOLOGY; TORI
Descriptors DEC
MATHEMATICAL OPERATORS; MATHEMATICAL SPACE; MATHEMATICS; QUANTUM OPERATORS; SPACE