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Title: The phase topology of a special case of Goryachev integrability in rigid body dynamics

The phase topology of a special case of Goryachev integrability in the problem of motion of a rigid body in a fluid is investigated using the method of Boolean functions, which was developed by Kharlamov for algebraically separated systems. The bifurcation diagram of the moment map is found and the Fomenko invariant, which classifies the systems up to rough Liouville equivalence, is specified. Bibliography: 15 titles. (paper)
Authors:
 [1]
  1. Financial University under the Government of the Russian Federation, Moscow (Russian Federation)
Publication Date:
OSTI Identifier:
22364927
Resource Type:
Journal Article
Resource Relation:
Journal Name: Sbornik. Mathematics; Journal Volume: 205; Journal Issue: 7; Other Information: Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICAL METHODS AND COMPUTING; ALGEBRA; BIFURCATION; CALCULATION METHODS; DIAGRAMS; FLUIDS; FUNCTIONS; MATHEMATICAL SOLUTIONS; TOPOLOGY