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On the Conditions of Total Resonance of Liouville Type Hamiltonian Systems with n Degrees of Freedom
Репозиторій DSpace/Manakin
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On the Conditions of Total Resonance of Liouville Type Hamiltonian Systems with n Degrees of Freedom
Посилання:
On the Conditions of Total Resonance of Liouville Type Hamiltonian Systems with n Degrees of Freedom / V.T. Lisitsa // Журнал математической физики, анализа, геометрии. — 2010. — Т. 6, № 3. — С. 295-304. — Бібліогр.: 13 назв. — англ.
Дата:
2010
Переглядів:
621
Завантажень:
212
On the Conditions of Total Resonance of Liouville Type Hamiltonian Systems with n Degrees of Freedom
Анотація:
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.
