Geodesic
On the conditions of total resonance of Liouville type Hamiltonian systems with $n$ degrees of freedom
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (2010) no. 3, pp. 295-304
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The completely singular dynamical systems of the Liouville type are studied. The motion paths of these systems are closed graphs if the Liouville tori are compact. The conditions under which a dynamical system of the Liouville type is strongly singular are obtained in the paper. These conditions have a form of the system of integral equations. It is proved that the obtained system is solvable. 
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     title = {On the conditions of total resonance of {Liouville} type {Hamiltonian} systems with $n$ degrees of freedom},
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V. T. Lisitsa. On the conditions of total resonance of Liouville type Hamiltonian systems with $n$ degrees of freedom. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (2010) no. 3, pp. 295-304. http://geodesic.mathdoc.fr/item/JMAG_2010_6_3_a4/

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