The Liouville Foliation of the Billiard Book Modelling the Goryachev-Chaplygin Case
V. V. Vedyushkina
Abstract
The Fomenko-Zieschang invariant of an interesting case of an integrable billiard book is calculated and it is shown that such a book models dynamics of the Goryachev-Chaplygin integrable case on a constant-energy surface.
Topics & Concepts
Dynamical billiardsIntegrable systemFoliation (geology)MathematicsInvariant (physics)Constant (computer programming)Mathematical physicsMathematical analysisGeometryGeologyComputer scienceProgramming languageGeochemistryMetamorphic rockQuantum chaos and dynamical systemsNonlinear Waves and SolitonsAdvanced Differential Equations and Dynamical Systems