Vladimir Ol'shanskii
Rabotchaya 24, Saratov, 410028, Russia
Institute of Precision Mechanics and Control, Russian Academy of Scienses
Publications:
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Ol'shanskii V. Y.
On quadratic integral Poincare–Zhukovsky’s equations
2012, Vol. 8, No. 3, pp. 523-540
Abstract
For Poincaré–Zhukovsky’s equations with non-diagonal matrices in the Hamiltonian, we obtain conditions for existence of the quadratic integral $({\bf YS},{\bf K}) = \rm{const}$ and the explisit form of it. It is shown that if the integral exists, then the equations reduce to the Schottky’s case.
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