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A Liouville classification of integrable Hamiltonian systems which are the geodesic flows on 2-dimensional torus of revolution in a invariant potential field in the case of linear integral is obtained.… Click to show full abstract
A Liouville classification of integrable Hamiltonian systems which are the geodesic flows on 2-dimensional torus of revolution in a invariant potential field in the case of linear integral is obtained. This classification is obtained using the Fomenko–Zieschang invariant (marked molecules) of investigated systems. All types of bifurcation curves are described. Also a classification of singularities of the system solutions is obtained.
Keywords:
classification;
potential field;
classification integrable;
torus revolution;
geodesic flows
Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2017
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Journal Title: Lobachevskii Journal of Mathematics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!