Non-existence criteria for Laurent polynomial first integrals.
Shi, Shaoyun, Han, Yuecai (2003)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Displaying similar documents to “Multidimensional two-particles problem with non-central potential”
Non-existence criteria for Laurent polynomial first integrals.
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Rendiconti del Seminario Matematico della Università di Padova
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Serdica Mathematical Journal
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The present paper deals with the KAM-theory conditions for systems describing the motion of a particle in central field.
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On the KAM - Theory Conditions for the Kirchhoff Top
Christov, Ognyan (1997)
Serdica Mathematical Journal
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* Partially supported by Grant MM523/95 with Ministry of Science and Technologies. In this paper the classical Kirchhoff case of motion of a rigid body in an infinite ideal fluid is considered. Then for the corresponding Hamiltonian system on the zero integral level, the KAM theory conditions are checked. In contrast to the known similar results, there exists a curve in the bifurcation diagram along which the Kolmogorov’s condition vanishes for certain values of the parameters. ...